2. Simplify Calculator What do you want to calculate? Calculate it! Example: 2 (5x+4)-3x Example (Click to try) 2 (5x+4)-3x How to simplify your expression To simplify your expression using the Simplify Calculator, type in your expression like 2 (5x+4)-3x. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.1. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. You can also earn cash back rewards on Amazon and Whole Foods purchases with the Amazon Prime Visa credit card. Step 3. The value at is .750 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : Solve your math problems using our free math solver with step-by-step solutions.3. 2x2 - 6x + 1x - 3. Tìm x, y biết (x - 2) (x^2 + 2x + 7) + 2 (x^2 - 4) - 5 ( x - 2) = 0. x= −1,y = −5 Explanation: Both equations must be equal, so we get 7x+2 =−3x−8 adding −2 on both sides and adding 3x y=7x+20 Geometric figure: Straight Line Slope = 14. y-intercept: (0,−7) ( 0, - 7) Any line can be graphed using two points. Use the slope-intercept form to find the slope and y-intercept.1. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a.2 x 2 7 2x27 . The result 10=2x-4 One solution was found : x = 7 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : With the quadratic equation in this form: Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b. → Substitute it in the right side above. To confirm if x - a = 0 is a factor of a polynomial we replace f (x) with f (a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor. Simplify each term. So, x = 2y + 7. Directrix: y = −33 4 y = - 33 4. Step 2: Change the sign of a number in the divisor and write it on the left side. en. Find the properties of the given parabola. Tap for more steps 12x 7 = x 2 + 17 2 12 x 7 = x 2 + 17 2.9. y-intercept: (0,−2) ( 0, - 2) Any line can be graphed using two points. Factor algebraic expressions step-by-step. Simplify exponential expressions using algebraic rules step-by-step. y = 2x − 7 y = 2 x - 7. en. Step 3.000 = 7. Tap for more steps x2 + 5x−14 x 2 + 5 x - 14. Steps for Completing the Square. Divide each term in 2x = 7 2 x = 7 by 2 2 and simplify. Middle School Math Solutions – … Example: 2x+3>23 Example (Click to try) 2x+3>23 How to solve your inequality.8.mrof tpecretni-epols ni etirweR . Take the natural logarithm of both sides of the equation to remove the variable from the exponent.e 2,1 and 0. The result can be shown in multiple forms. To solve an equation, we use the addition-subtraction property to transform a given equation to an equivalent equation of the form x = a, from which we can find the solution by inspection. Arithmetic.
 7
. In mathematics, a polynomial is a mathematical expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. The table shows the number of regular-sized coffees purchased, the number. (√2x + 7)2 = (x + 2)2 ( 2 x + 7) 2 = ( x + 2) 2. Aby zapisać "większy-równy", wpisz >=, dla "mniejszy-równy" wpisz <=, dla Factor 2x^2-7x+3. Example: 2x2 + 7x + 3. Starting at $5. 2x − 7 2 x - 7. Tap for more steps 2x = 8 2 x = 8. View solution steps Graph Graph Both Sides in 2D Graph in 2D Quiz Quadratic Equation 2x2 +x−2 = 7 Similar Problems from Web Search 2x3(x−1 + 3) (x~-1_3)/ Algebra Factor 2x^2+7x-7 2x2 + 7x − 7 2 x 2 + 7 x - 7 2x2 + 7x−7 2 x 2 + 7 x - 7 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Tap for more steps Step 2. Solve an equation, inequality or a system. Steps Using Direct Factoring Method. The final answer is the combination of both solutions. Tap for more steps x⋅x+x⋅ −7−2x−2⋅−7 x ⋅ x + x ⋅ - 7 - 2 x - 2 ⋅ - 7. Tap for more steps Solve Quadratic Equation by Completing The Square. 3) Since x is the dependent variable and y is the independent variable and it is always a zillion times easier to solve a problem in y Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1. Step 2: Change the sign of a number in the divisor and write it on the left side. Simplify (x-7)^2. Rewrite as . Limits.2 Solving x2-2x-7 = 0 by Completing The Square .928 Step by step solution : Step 1 :Trying to Linear equation. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. en. Step 3. Pull terms out from under the radical. Step 3. dxd (x − 5)(3x2 − 2) Integration. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Tap for more steps Slope: 2 2. Enter a problem. Tap for more steps 2x2 − 3x−35 2 x 2 - 3 x - 35. A quadratic equation is a second degree polynomial having the x2+2x+2 Final result : x2 + 2x + 2 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1. Try it now: 2x+3=15 @ x=6 Clickable Demo Try entering 2x+3=15 @ x=6 into the text box. Popular Problems. at x = −1 the function is decreasing, it continues to decrease until about 1. Related Symbolab blog posts. Simplify . Cancel the common factors. Move all terms not containing x x to the right side of the equation. Step 1. In this case, the divisor is x −2 so we have to change −2 to 2. Jeżeli nie uda się znaleźć rozwiązania symbolicznego, pokazane zostanie rozwiązanie graficzne, na wykresie. Step 3. Solve your math problems using our free math solver with step-by-step solutions. Upgrade to Premium Close Ad. Step 3.This is Những bài toán phổ biến. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. ∵ (x + a)² = (x)(x) + 2(x)(a) + (a)(a) ∴ (x + a)² = x² + 2ax + a². f (x) = 2x − 7 f ( x) = 2 x - 7.8. Step 4. Please check the expression entered or try another topic. The inequality solver will then show you the steps to help you learn how to solve it on your own.10. The inequality solver will then show you the steps to help you learn how to solve it on your own. ln(2x) = ln(7) ln ( 2 x) = ln ( 7) Expand ln(2x) ln ( 2 x) by moving x x outside the logarithm. Step 2. ⇒ 2x + 7 = x2 + 4x + 4 ⇒ x2 + 2x -3 = 0. To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. a,3x+2 chia hết cho x-1. Step 3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Middle School Math Solutions - Polynomials Calculator, Factoring Quadratics. Subtract x2 x 2 from 2x2 2 x 2. Choose "Simplify" from the topic selector and click to see the result in our Algebra Calculator! Examples Simplify Simplify (x-7)^2.566 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 6x−12 Explanation: To combine like terms you need to bring all of the x's together and all of the numbers together. Example: 2x+3>23 Example (Click to try) 2x+3>23 How to solve your inequality. Simplify and combine like terms. Tap for more steps Step 3. Two numbers r and s sum up to -7 exactly when the average of the two numbers is \frac{1}{2}*-7 = -\frac{7}{2}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. 3) 4x 2 + 4xy + x 2 - 2x + 1 + y 2 = 0.1. x 7 ft. Select two x x values, and plug them into the equation to find the corresponding y y values. In other words - two sevenths multiplied by two is four sevenths. Lulusan S2 Matematika Institut Teknologi Bandung. Be careful to handle the signs of each individual term correctly: 2x3 −4x2 +3+x3−3x2+1 (x2+9) (x3-4x2-19x-14)=0 5 solutions were found : x = 7 x = -1 x = -2 x= 0. en. 2x^{2}+7x+3.8. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Expand using the FOIL Method. Tap for more steps 2x(2x)+2x⋅7−7(2x)−7⋅ 7 2 x ( 2 x) + 2 x ⋅ 7 - 7 ( 2 x) - 7 ⋅ 7. Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Step 2. 2x − 5 = 7 2 x - 5 = 7. quadratic-equation-calculator. The result can be Explanation: Finding the zeros of the polynomial p (x) = (2x² - 9x + 7) (x - 2) involves setting the polynomial equal to zero and solving for x. Simplify 2x-7. Tap for more steps 2x(2x)+2x⋅−7−7(2x)− 7⋅−7 2 x ( 2 x) + 2 x ⋅ - 7 - 7 ( 2 x) - 7 ⋅ - 7 Algebra.1. x2−x−2 x 2 - x - 2. Tap for more steps 4x2 − 49 4 x 2 - 49. factor-calculator. Step by step solution : Step 1 : Isolate the square root on the left hand side : Original equation √ 2x +7 = x+2 Isolate √ 2x = -7+x+2 Tidy up √ 2x = -5+x. Divide each term in 2x = 12 2 x = 12 by 2 2 and simplify.1 Factoring: x2-24 Theory : A difference of two perfect squares, A2 - B2 can x2-36 Final result : (x + 6) • (x - 6) Step by step Free Polynomial Degree Calculator - Find the degree of a polynomial function step-by-step. en. Rút gọn mỗi vế của phương trình. b,3x+4 chia hết cho x-3. Move all terms containing x x to the left side of the equation. 2) Exchange the x & y variables. Example 3 Solve 2x + 1 = x - 2.2 Solving x2-2x-7 = 0 by Completing The Square . Save to Notebook! Sign in. Tap for more steps 2x(2x)+2x⋅7−7(2x)−7⋅ 7 2 x ( 2 x) + 2 x ⋅ 7 - 7 ( 2 x) - 7 ⋅ 7 Simplify and combine like terms. Less Than Or Equal To. 2^2. Use the quadratic formula to find the solutions. Select two x x values, and plug them into the equation to find the Solve for x 2x- (2x)/7=x/2+17/2. x2+2x-17=0 Two solutions were found : x = (-2-√72)/2=-1-3√ 2 = -5. Move all terms not containing x x to the right side of the equation. absolute and radical equations, step-by-step. Simplify . Replace the variable with in the expression. An example with three indeterminates is x³ + 2xyz² − yz + 1.1k points) selected Nov 23, 2020 by Naaz. The notation for a closed interval is typically of the form [a,b], where a and b are the endpoints of the interval. (2x−7)(2x−7) ( 2 x - 7) ( 2 x - 7) Expand (2x−7)(2x− … Solve by Completing the Square x^2+2x-7=0 to both sides of the Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework … Algebra Factor 2x^2+7x-7 2x2 + 7x − 7 2 x 2 + 7 x - 7 2x2 + 7x−7 2 x 2 + 7 x - 7 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics … Linear equation Arithmetic Matrix Simultaneous equation Differentiation Integration Limits Solve your math problems using our free math solver with step-by-step solutions. Step 1.8. The final answer is .
 Solve for x 2x-7=0
. High School Math Solutions – Quadratic Equations Calculator, Part 1. Cite.0000 + 3. Tap for more steps Slope: 2 2. Nothing further can be done with this topic.000 x-intercept = 20/-7 = -2. Related Symbolab blog posts. Replace the variable with in the expression.2 Solving x2-2x+7 = 0 by Completing The Square . 3,Tìm cặp số nguyên x,y. x^2-x-2. xln(2) = ln(7) x ln ( 2) = ln ( 7) Pre-Algebra. 2x = 7 2 x = 7.8. Tap for more steps x = 4 x = 4. Integration. 3x^{2}=-2x+7. Algebra. Simplify and combine like terms. Tap for more steps Slope: 7 2 7 2. (7x)2 ( 7 x) 2. Pull terms out from under the radical. \frac{x^{12}}{x^{-2}} (2x)^{2} x^{2}\cdot x^{3} Show More; Description. Best answer. c,x-2 là ước của x 2 +8. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Use the quadratic formula to find the solutions. Find roots of polynomials using the rational roots theorem step-by-step. x~~2. exponents-calculator (2x)^{2} en. To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. Rewrite the equation in vertex form.243 Step by step solution : Step 1 :Trying to factor by splitting the middle term x2+2x-47=0 Two solutions were found : x = (-2-√192)/2=-1-4√ 3 = -7.8. 2x2 − 7x + 3 2 x 2 - 7 x + 3. Solve for x 2x-1=7. Runner Rug with 1,130 reviews, and the SAFAVIEH Florida Shag Cream/Beige 2 ft. factor-calculator. The How do you list all possible roots and find all factors of 3x2 + 2x + 2 ? This quadratic has zeros: −31 ± 35i and hence can be factored as: 3x2 +2x+2 = 3 Solve Using the Quadratic Formula x^2-x-7=0. 2x = 7 2 x = 7. Solve your math problems using our free math solver with step-by-step solutions.00000 Rearrange: Rearrange the equation by subtracting what is How do you solve y = 7x + 2 and y = −3x − 8 ? Algebra Simplify (2x-7) (2x+7) (2x − 7) (2x + 7) ( 2 x - 7) ( 2 x + 7) Expand (2x−7)(2x+ 7) ( 2 x - 7) ( 2 x + 7) using the FOIL Method.2. Linear equation. Graph y=2x-7. Factor x2 x 2 out of x7 x 7. View solution steps.(y+2)= -8. An example of a polynomial of a single indeterminate x is x² − 4x + 7. Adding polynomials Read More. Step 1. Step 2. Đại số. 6+11x+6x^2+x^3=0 ; 2x^5+x^4-2x-1=0 ; 11+6x+x^2=-\frac{6}{x} x^3-2x=0 ; Show More; Description.000/2. 2x − 1 = 7 2 x - 1 = 7. Limits.$$ Now as the polynomial is known to evaluate to $0$, you know the value of the RHS. 1. A quadratic equation is a second degree polynomial having the. Tap for more steps x5 x 5. Related Symbolab blog posts. Step 3.000/2. After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x+3=15: 2(6)+3 = 15. Divide each term in by and simplify. The values of x that satisfy the equation are called … Solve an equation, inequality or a system. b,x. Apply the distributive property.3. ⇒ x (x + 3) - 1 (x + 3) = 0 ⇒ (x + 3) (x - 1) = 0.rotut htam a ekil tsuj ,snoitanalpxe pets-yb-pets htiw snoitseuq krowemoh scitsitats dna ,suluclac ,yrtemonogirt ,yrtemoeg ,arbegla ruoy srewsna revlos melborp htam eerF eht fo sedis htob ot 0=7-x2+2^x erauqS eht gnitelpmoC yb evloS . Subtract the dividend from the obtained result: ( 2 x 3 - 3 x 2 + 13 x - 5) - ( 2 x 3 + 10 x 2) = - 13 x 2 + 13 x - 5. Multiply polynomials step-by-step. Simplify 2x^2-x^2. Solve your math problems using our free math solver with step-by-step solutions. Use the slope-intercept form to find the slope and y-intercept. Simplify the left side. Subtract 7 from both side of the equation : x2-2x = -7. x2x5 x2 x 2 x 5 x 2. Then type x=6. /. Factor x2 x 2 out of x7 x 7. Related Symbolab blog posts. y = 2x− 7 y = 2 x - 7.8. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.seitilauqenI laitnenopxE ,rotaluclaC seitilauqenI - snoituloS htaM loohcS hgiH . 2x − 2x 7 = x 2 + 17 2 2 x - 2 x 7 = x 2 + 17 2. This gives you two separate equations to solve: 2x² - 9x + 7 = 0. Popular Problems.4. Khan Academy Video: Simplifying Expressions; Need more problem types? Try MathPapa Algebra Calculator. Send us Feedback. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 2⋅3 = 6 a ⋅ c = 2 ⋅ 3 = 6 and whose sum is b = −7 b = - 7. Limits.Tìm số nguyên x.

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Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics Example 1 : Divide x2 + 3x − 2 by x − 2. Let us plot it, including the interval [−1,2]: Starting from −1 (the beginning of the interval [−1,2]):. If you're not a student, there's also a free 1-Month Amazon Prime trial available. Free Polynomial Standard Form Calculator - Reorder the polynomial function in standard form step-by-step. To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. Arithmetic. Raise 7 7 to the power of 2 2. plug x=1 in the function y = − x2 +2x − 7. (2x−7)(2x−7) ( 2 x - 7) ( 2 x - 7) Expand (2x−7)(2x− 7) ( 2 x - 7) ( 2 x - 7) using the FOIL Method. 22 2 2. Subtract from . Solve your math problems using our free math solver with step-by-step solutions. Move all terms not containing x x to the right side of the equation. c,x-2 là ước của x 2 +8. Step 2. High School Math Solutions - Radical Equation Calculator. Related Symbolab blog posts. Two numbers r and s sum up to -2 exactly when the average of the two numbers is \frac{1}{2}*-2 = -1. The final answer is . y = − 6. 2x − 5 = 7 2 x - 5 = 7. polynomial-equation-calculator. 100. Arithmetic. Step 1.500 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : Step 1: The left side of equation is 3 x (x - 2), so multiply x - 2 by 3. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. Graph the parabola using its properties and the selected points. Related Symbolab blog posts.1. Tap for more steps Solve Quadratic Equation by Completing The Square.1. Simultaneous equation. Tap for more steps Step 3. Step 3. Step 3.2.12. ⇒ x2 + 3x x - x x - 3 = 0. You will get the final answer in inequality form and interval notation. Apply the product rule to 7x 7 x. Multiply polynomials step-by-step.10. Radical equations are equations involving radicals of any order. gcf and distributive property of 30, 100. Expand (2x+7)(x− 5) ( 2 x + 7) ( x - 5) using the FOIL Method. Tap for more steps x2 − 9x+14 x 2 - 9 x + 14.3. Toán 8 Bài 2 Trắc nghiệm Toán 8 Bài 2 Giải bài tập Toán 8 Bài 2. The last term, "the constant", is +7 Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7 Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is -2 . One to any power is one. In this case, the divisor is x −2 so we have to change −2 to 2. Send us Feedback. Apply the distributive property., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-G To simplify your expression using the Simplify Calculator, type in your expression like 2 (5x+4)-3x. Divide each term in 2x = 6 2 x = 6 by 2 2 and simplify. Step 3 : Solve the 2x -7 =13. Radical equations are equations Solve 2x^2-3x-7=0 | Microsoft Math Solver. Adding 2 to each member yields. en. A coffee shop charges two different prices depending on the size of the cup. 3x^{2}=-2x+7.2. Step 2: Click the blue arrow to submit. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. $$\frac{3x^2-2x+7}3=x^2-\frac23x+\frac73., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-G 99. Simplify . 2^2. In this notation, the numbers at the endpoints of the interval are included in the set. Move all terms not containing x x to the right side of the equation.1. Algebra Factor x^2-2x-7 x2 − 2x − 7 x 2 - 2 x - 7 x2 − 2x−7 x 2 - 2 x - 7 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.1 Find the Vertex of y = 2x 2-x-7 Parabolas have a highest or a lowest point called the Vertex . Simplify each term. \frac{x^{12}}{x^{-2}} (2x)^{2} x^{2}\cdot x^{3} Show More; Description. Step 1. Factoring is the process Read More. We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial. ac is 2×3 = 6 and b is 7. Middle School Math Solutions - Polynomials Calculator, Factoring Quadratics. Rewrite as .0000 i Step by step solution : Step 1 :Equation at the end of step 1 : (3x2+4x-1) (4) (2x-3)3 (2)+ (2x-3)4 (6x+4) Final result : 2 • (2x - 3 7x2 + 2x − 7 x(x − 1)(x + 1) = A x + B (x − 1) + C (x + 1) 7 x 2 + 2 x − 7 x ( x − 1) ( x + 1) = A x + B ( x − 1) + C ( x + 1) You can obtain A,B,C by setting the value of x are 1,-1,0 respectively and compare the coefficient of different power of x i. x2x5 x2 x 2 x 5 x 2. Last post, we talked about how to solve logarithmic inequalities. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics Simplify x-2x.4. Để loại bỏ dấu căn ở vế trái của phương trình, ta bình phương cả hai vế của phương trình. Cancel the common factors.81 1. Differentiation. Use the slope-intercept form to find the slope and y-intercept. and numerical terms) ∵ The terms of Differentiation.0000 - 3. Solve your math problems using our free math solver with step-by-step solutions. Squaring both the sides, we have. Type = for "less than or equal to". Differentiation. An example of a polynomial of a single indeterminate x is x² − 4x + 7. Send us Feedback. 1±√(−1)2 −4 ⋅(1⋅−7) 2⋅1 1 ± First type the equation 2x+3=15. Note this is what accomplishes that reflection across the line y = x.11. The inequality calculator simplifies the given inequality. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.(y+1)=5. Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work. Tap for more steps 2x = 12 2 x = 12. Factor out the greatest common factor Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step √ 2x +7 = x+2. ∫ 01 xe−x2dx.2.2. quadratic-equation-calculator. In the following intermediate step, it cannot further simplify the fraction result by canceling.noisserpxe eht ni htiw elbairav eht ecalpeR . Tap for more steps x⋅x+x⋅ −2+7x+7⋅−2 x ⋅ x + x ⋅ - 2 + 7 x + 7 ⋅ - 2.9. a,(x-1). Use the log property, log_color (purple)b (color (red)m^color (blue)n)=color (blue)n*log_color (purple)b Algebra. Result fraction keep to lowest possible denominator GCD (4, 7) = 1.7. Select two x x values, and plug them into the equation to find the corresponding y y Solve for x 2^x=7. Get Step by Step Now. 2x−7 2 x - 7. Multiply both numerators and denominators. x→−3lim x2 + 2x − 3x2 − 9. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. Step 3. Oblicz to! postara się rozwiązać wpisane równanie i pokaże sposób, w jaki to zrobił, krok po kroku. Free Factor Trinomials Calculator - Factor trinomials step-by-step. Tap for more steps 17x 14 = 17 2 17 x 14 = 17 2. Apply the distributive property. Save to Notebook! Sign in.Tìm số nguyên x.1 Factoring x 2-2x+7 The first term is, x 2 its coefficient is 1 . Then type x=6.7. Cooking Calculators. Graph y=x^2-2x-7. x − 2x x - 2 x. Integration. Simplify any resulting mixed numbers. TÌm x , y : 1) (x - 2) (x 2 + 2x + 7) + 2 (x 2 - 4) - 5 ( x - 2) = 0. x - 2 = 10. Step 3. The values of r and s are equidistant from the center by an unknown quantity u. Free Polynomial Standard Form Calculator - Reorder the polynomial function in standard form step-by-step. Integration. Làm ơn mn giải nhanh giúp mình ngày mai mình phải nộp r! Calculadora gratuita de polinômios - Somar, subtrair, multiplicar, dividir e fatorar polinômios passo a passo A closed interval notation is a way of representing a set of numbers that includes all the numbers in the interval between two given numbers. rational\:roots\:2x^{2}+4x-6 ; Show More; Description.3. Step 4. Solve quadratic equations step-by-step. Step 2. x = 2 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. "Vertex :" (1,-6) "given function "y=-x^2+2x-7 "derivate the function y with respect to x and make equal to zero. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps Slope: 7 2 7 2. en. For math, science, nutrition, history 3 (x-2)=x-7 One solution was found : x = -1/2 = -0. equation-calculator. Use the slope-intercept form to find the slope and y-intercept. Algebra. You get: 0 = (2x² - 9x + 7) (x - 2) For the polynomial to be zero, one or both of the factors must be zero. 2x-7/4=x+3/3 One solution was found : x = 11/4 = 2. √2x + 7 = x + 2. Solve by Factoring x^2-2x-5=0. Related Symbolab blog posts. y-intercept: (0,−2) ( 0, - 2) Any line can be graphed using two points. Save to Notebook! Sign in. A 3D model is not the mathematical representation of any three-dimensional object. rational-roots-calculator. Just like numbers have factors (2×3=6), expressions have factors ( (x+2) (x+3)=x^2+5x+6). b,x. So, y = 2x + 7. Step 6. a,(x-1). (A) True (B) False.2.500 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the 2x+3=4 One solution was found : x = 1/2 = 0. Graph y=2x-7. √2x+72 = (x−4)2 2 x + 7 2 = ( x - 4) 2. Add 1 to both sides of the equation : On the right hand side we have : Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Don't have Amazon Prime? Students can get a free 6-Month Amazon Prime trial with free 2-day shipping, unlimited video streaming & more. Show more. x2 − x − 7 = 0 x 2 - x - 7 = 0. Add 7 to both side of the equation : x2-2x = 7. The values of r and s are equidistant from the center by an unknown quantity u.Free math problem solver answers your algebra homework questions with step-by-step explanations. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. High School Math Solutions - Inequalities Calculator, Exponential Inequalities. Apply the distributive property. Solve for x 2x-5=7. b,x 2 +2x-7 chia hết cho x+2. Simplify and combine like terms. Use the quadratic formula to find the solutions.1. 1st honorary member initiated into Delta Sigma Theta A) Eleanor Roosevelt B) Oprah Winfrey C) Maya Angelou D) Michelle Obama. Step 2. Tap for more steps Step 3. Apply the distributive property. b,3x+4 chia hết cho x-3. Rewrite as . Select a few x x values, and plug them into the equation to find the corresponding y y Algebra. Tap for more steps y = 7 2x− 2 y = 7 2 x - 2. Divide each term in 2x = 8 2 x = 8 by 2 2 and simplify. Example: 2x-1=y,2y+3=x. 2. Step 2. x<= (-7)/2 or x>=0 x (2x+7)>=0 Distribute (x) (2x)+ (x) (7)>=0 2x^2 + 7x >=0 Now we need to find the critical points of the inequality! 2x^2 + 7x =0 We need to factorize this again x (2x+7)=0 Set factors equal to 0 x=0 or 2x+7=0 x=0 or 2x=0-7 x=0 or 2x=-7 x=0 or x= (-7)/2 Now we need to check the intervals between the critical Two numbers r and s sum up to 7 exactly when the average of the two numbers is \frac{1}{2}*7 = \frac{7}{2}. Algebra Calculator - get free step-by-step solutions for your algebra math problems Linear Equation y = 7x+2 Similar Problems from Web Search y = 7x + 2 y=7x+2 Geometric figure: Straight Line Slope = 14.dohteM LIOF eht gnisu )2 - x ( )7 + x ( )2 −x()7+x( dnapxE )2 - x ( )7 + x ( )2 − x( )7 + x( )2-x( )7+x( yfilpmiS . Answer link. Tap for more steps 2x⋅x+2x⋅−5+7x+7⋅ −5 2 x ⋅ x + 2 x ⋅ - 5 + 7 x + 7 ⋅ - 5. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Take the natural logarithm of both sides of the equation to remove the variable from the exponent. Porady: • Możesz używać znaków <,>,=. Free math problem solver answers your Linear equation. Multiply it by the divisor: 2 x 2 ( x + 5) = 2 x 3 + 10 x 2. The value at is . b,x 2 +2x-7 chia hết cho x+2. Linear equation Arithmetic Matrix Simultaneous equation Differentiation Integration Limits Solve your math problems using our free math solver with step-by-step solutions.2. Then type the @ symbol. Steps Using the Quadratic Formula. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Simplify (x-2) (x-7) (x − 2) (x − 7) ( x - 2) ( x - 7) Expand (x−2)(x− 7) ( x - 2) ( x - 7) using the FOIL Method. Solve quadratic equations step-by-step. If the numerator and denominator of the resulting fraction are both divisible by the same number, simplify the fraction by dividing both by that number. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. Subtract from . 100. Simplify (x-2) (x-7) (x − 2) (x − 7) ( x - 2) ( x - 7) Expand (x−2)(x− 7) ( x - 2) ( x - 7) using the FOIL Method. Add 7 7 to both sides of the equation. Tap for more steps Step 2. High School Math Solutions - Quadratic Equations Calculator, Part 1. Tap for more steps x2 − 9x+14 x 2 - 9 x + 14. (2x-1)(5x-6) (2x^2-1)(-x^2-6) (x^2+2x-1)\cdot(2x^2-3x+6) 4x(4x-2)(x^2-3) Show More; Description. Step 2. Use the quadratic formula to find the solutions. The value at is . Differentiation. Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1.2. Vertex: (1,−8) ( 1, - 8) Focus: (1,−31 4) ( 1, - 31 4) Axis of Symmetry: x = 1 x = 1. Solve polynomials equations step-by-step. Find an answer to your question Solve 3^ (2x) = 7^ (x−1) 2x^{2}-15x+7=\left(x-7\right)\left(2x-1\right) Cancel out 2, the greatest common factor in 2 and 2. Related Symbolab blog posts. 2(4x−4)−2(x+2) 2x+7=16-4x One solution was found : x = 3/2 = 1.768 x = (-7+√13)/6=-0. In this notation, the numbers at the endpoints of the interval are included in the set. Choose "Simplify" from the topic selector and click to see the result in our Algebra Calculator! Examples. Since the left and right sides of the equation do not have the same base, start by taking the log of both sides. Solve for x. Tap for more steps 2x = 6 2 x = 6.1. One to any power is one. Arithmetic. Solve Using the Quadratic Formula 2x^2-2x-7=0. Tap for more steps 2x2 − 1x−6x+3 2 x 2 - 1 x - 6 x + 3. /. We will show examples of square Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Simplify and combine like terms. Simplify 2x− 2x 7 2 x - 2 x 7. factor\:x^6-2x^4-x^2+2 ; factor\:2x^5+x^4-2x-1 ; Show More; Description. Step 7: Read the result from the synthetic table. Multiply both sides of the equation by 14 17 14 17. Tap for more steps y = 7 2x− 2 y = 7 2 x - 2. Get step-by-step answers and hints for your math homework problems. Integration.0000 i x= 0. Some of the most reviewed products in 2 X 7 Area Rugs are the Home Decorators Collection Spiral Medallion Grey 2 ft. Apply the distributive property. en.

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Step 3. After you … Step 2: Click the blue arrow to submit.28571 y-intercept = 2/1 = 2. Simplify and combine like terms. Try it now: 2x+3=15 @ x=6 Clickable Demo Try entering 2x+3=15 @ x=6 into the text box. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Simplify . Step 3. Factor. Step 3. High-Low Floral Runner Rug with 1,041 reviews. Matrix. Equation at the end of step 2 : 2x 2 - x - 7 = 0 Step 3 : Parabola, Finding the Vertex : 3. y-intercept: (0,−7) ( 0, - 7) Any line can be graphed using two points. Step 5. Integration. Tap for more steps Slope: 2 2. Rewrite the function as an equation. x^{2}-x-2. Solve for x 2x-5=7. 7 · 1 = 4. x2 x 2. 2x2 − x2 2 x 2 - x 2. Popular Problems. Evaluate. √2x + 7 = x − 4 2 x + 7 = x - 4. Simplify. Step 1. Subtract 2x 2 x from x x. 2x − 7 = 0 2 x - 7 = 0. a,2x-5 chia hết cho x-1. Tap for more steps x = 3 x = 3. Add 1 to both sides of the equation : On the right hand side we have : Calculadora gratuita de polinômios - Somar, subtrair, multiplicar, dividir e fatorar polinômios passo a passo A closed interval notation is a way of representing a set of numbers that includes all the numbers in the interval between two given numbers. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Here is an example: 2x^2+x(4x+3) Simplifying Expressions Video Lesson. Simplify and combine like terms. → Let us solve the bracket on the right side. x-2+2 =10+2. Change the to . 2- si tneiciffeoc sti x2- ,si mret elddim ehT .00000 Rearrange: Rearrange the equation by subtracting what y=7x+27 Geometric figure x^2-x-6=9 ; x^2-x-6=0 ; x^2-1=0 ; x^2+2x+1=3x-10 ; 2x^2+4x-6=0 ; Show More; Description.1. Learn the basics, check your work, gain insight on different ways to solve problems. Answer link. Step 2. 2) 2x 3 + x 2 - 6x = 0.3. x2 − 2x−7 x 2 - 2 x - 7. Solve for x 3-2 (1-x) ≤ 2 Solve for x 5 + 5 (x + 4) ≤ 2 0 Solve for x 4-3 (1-x) ≤ 3 Solve for x -x-x + 7 (x-2) Solve for x 8 x ≤-3 2 Type ^ for exponents like x^2 for "x squared". Step 2. Simplify exponential expressions using algebraic rules step-by-step. x = 12. y = − 12 +2 ⋅ 1 − 7.85714 y-intercept = 20/1 = 20. Limits. WolframAlpha Online Factoring Calculator Factor, expand or simplify polynomials with Wolfram|Alpha expand polynomial x-3 x3+5x-2 Natural Language Math Input More than just an online factoring calculator Wolfram|Alpha is a great tool for factoring, expanding or simplifying polynomials. Related Symbolab blog posts. Multiply by .928 x = (-2+√192)/2=-1+4√ 3 = 5. Here is an A polynomial is an expression of two or more algebraic terms, often having different exponents. Explanation: There are no real solutions to this problem because: 2+x2 = 0 2+x2 −2 = 0−2 x2-24 Final result : x2 - 24 Step by step solution : Step 1 :Trying to factor as a Difference of Squares : 1. To start we can expand the brackets. 2,Tìm x=Z. 2x^{2}-9x+7=0. Expand by moving outside the logarithm. 3,Tìm cặp số nguyên x,y. Solve for x 2^x=7.243 x = (-2+√72)/2=-1+3√ 2 = 3. Tap for more steps 2x = 12 2 x = 12. Middle School Math Solutions - Polynomials Calculator, Multiplying Polynomials.(y+1)=5. Find the properties of the given parabola. −x - x. Linear equation Arithmetic Matrix Simultaneous equation Differentiation Integration Limits Solve your math problems using our free math solver with step-by-step solutions.1. To simplify an expression with fractions find a common denominator and then combine the numerators. Step 2. Substitute the values , , and into the quadratic formula and solve for . en. Step 2. Clear Simplify Calculator » Simplify (2x-7) (2x+7) (2x − 7) (2x + 7) ( 2 x - 7) ( 2 x + 7) Expand (2x−7)(2x+ 7) ( 2 x - 7) ( 2 x + 7) using the FOIL Method. Share. 49x2 49 x 2. Add 1 to both sides of the equation : On the right hand side we have : -7 + 1 or, (-7/1)+ (1/1) x^2-x-6=9 ; x^2-x-6=0 ; x^2-1=0 ; x^2+2x+1=3x-10 ; 2x^2+4x-6=0 ; Show More; Description.3. Simplify (7x)^2. Combining like terms yields. Simplify and combine like terms. Tap for more steps x⋅x+x⋅ −7−2x−2⋅−7 x ⋅ x + x ⋅ - 7 - 2 x - 2 ⋅ - 7. Expand using the FOIL Method. 2 x + 7 = x + 2. Step 2.5. Matrix. 2^x=7 log (2^x)=log (7) 2.500 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : Example: f(x) = x 3 −4x, for x in the interval [−1,2]. Related Symbolab blog posts. Substitute the values , , and into the quadratic formula and solve for . Simultaneous equation.11." (d y)/ (d x) =0 d/ (d x) (-x^2+2x-7)=0 -2x+2=0 -2x=-2 x=2/2 x=1 "plug x=1 in the function " y=-x 2x2+7x+3=0 Two solutions were found : x = -3 x = -1/2 = -0. Matrix. Add 7 to both side of the equation : x2-2x = 7.500 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 7x) + 3 = 0 Step 2 :Trying to factor by splitting 3x2+7x+3=0 Two solutions were found : x = (-7-√13)/6=-1. Làm ơn mn giải nhanh giúp mình ngày mai mình phải nộp r! Algebra.1. Solve. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Here is an A polynomial is an expression of two or more algebraic terms, often having different exponents. Nilai mutlak atau modulus adalah nilai suatu bilangan riil tanpa adanya tanda tambah (+) atau kurang (-). Multiply by . Free math problem solver answers your algebra homework questions with step-by-step explanations. Arithmetic Matrix Simultaneous equation Differentiation Integration Limits Solve your math problems using our free math solver with step-by-step solutions. Step 2 : Eliminate the radical on the left hand side : Raise both sides to the second power (√ 2x) 2 = (-5+x) 2 After squaring 2x = x 2-10x+25. 2x − 1 = 7 2 x - 1 = 7. The result can be 7 * 2 = 2 · 2. Select two x x values, and plug them into the equation to find the corresponding y y values. Select two x x values, and plug them into the equation to find the corresponding y y Algebra. Move all terms not containing x x to the right side of the equation. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0. Factor x^2-2x-7. y-intercept: (0,−7) ( 0, - 7) Any line can be graphed using two points. 99. Step-4 : Add up the first 2 terms, pulling out like factors : 2x • (x-3) Add up the last 2 terms, pulling out common factors : 1 • (x-3) Step-5 : Add up the four terms of step 4 : (2x+1) • (x-3) Which is the Solve your math problems using our free math solver with step-by-step solutions. polynomial-multiplication-calculator. Substitute the values , , and into the quadratic formula and solve for . This produces the result 3x - 6, so the original equation can be rewritten as: 3x - 6 = x - 8. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. polynomial-multiplication-calculator. Tap for more steps x = 7 2 x = 7 2. Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1. Free math problem solver answers your algebra 2.2; it then increases from there, past x = 2 Without exact analysis we cannot pinpoint where the curve turns from decreasing to increasing, so let Solve for x 2x-7=-1. 22 2 2. Step 2. Limits. Step 7: Read the result from the synthetic table.13.000 = 7. x2−x−2 x 2 - x - 2. Free math problem solver answers your algebra 1. Factor algebraic expressions step-by-step. Step 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics Algebra. x 7 ft. So we want two numbers that multiply together to make 6, and add up to 7. High School Math Solutions - Exponential Equation Calculator. Then type the @ symbol. Adding polynomials Read More. x = 1.2 petS . Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics Example 1 : Divide x2 + 3x − 2 by x − 2.3. Step 2.2. Read our review to see if it's the right card for you. Divide each term in 2x = 8 2 x = 8 by 2 2 and simplify. Factor. In fact 6 and 1 do that (6×1=6, and 6+1=7) Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the following integralsint cfrac x 2 x Its results are not.(y+2)= -8. The calculator prints "True" to let you know that the answer is right. Step 1: Write down the coefficients of 2x2 +3x+4 into the division table.$$ To get a perfect identity, it now suffices to add a well-chosen constant $$\frac{3x^2-2x+7}3-\frac{20}9=x^2-\frac23x+\frac19. Differentiation. Substitute the values a = 1 a = 1, b = −1 b = - 1, and c = −7 c = - 7 into the quadratic formula and solve for x x. Tap for more steps Step 2. Divide each term in by .5.3 petS . 2x³ - 5x² + 7 = (2x² - x - 2) (x - 2) + 3/ (x -2) by long division method. Step 2. Matrix. Replace the variable with in the expression. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Simplify the result. HELP ME !!!!! Theo dõi Vi phạm. Simultaneous equation. Step 2. Example: 2x-1=y,2y+3=x. (2x^2-1)(-x^2-6) (x^2+2x-1)\cdot(2x^2-3x+6) 4x(4x-2)(x^2-3) Show More; Description. Divide each term in 2x = 12 2 x = 12 by 2 2 and simplify. Our … 2x-7=9 One solution was found : x = 8 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : More Items Share First type the equation 2x+3=15. Algebra. Step 2. 3. Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . Step 5. Find an answer to your question What is the sum of the polynomials? (6x+7+x^2)+ (2x^2-3) Two numbers r and s sum up to 7 exactly when the average of the two numbers is \frac{1}{2}*7 = \frac{7}{2}. answered Nov 17, 2020 by Eihaa (51.000 x-intercept = 2/-7 = -0. Step 2. 2,Tìm x=Z. Rewrite in slope-intercept form. This post, we will learn how to solve exponential Read More. Simplify (x^7)/ (x^2) x7 x2 x 7 x 2. Middle School Math Solutions - Polynomials Calculator, Factoring Quadratics. Free math problem solver answers your algebra Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. Step 2. Related Symbolab blog posts. Step 7. Evaluate. a,2x-5 chia hết cho x-1. x ^ 2 -\frac{15}{2}x +\frac{7}{2} = 0. Explore math with our beautiful, free online graphing calculator.1 Factoring x2+2x+2 The first term is, x2 its coefficient is 1 . Solve for x 2x-1=7. Related Symbolab blog posts. Rewrite as . → Compare the like terms on both sides (terms of x², terms of x . x^2-x-2. exponents-calculator (2x)^{2} en. High School Math Solutions - Radical Equation Calculator. Multiply by .1. Pelajari Persamaan Pertidaksamaan Contoh Soal. The notation for a closed interval is typically of the form [a,b], where a and b are the endpoints of the interval. Step 5. Type = for "less than or equal to". Solve Using the Quadratic Formula 3x^2-2x-7=0.4. Arithmetic. Step 2. ∵ x² + 2x - 7 = (x + a)² + b. Tap for more steps Direction: Opens Up. Mempunyai minat dibidang pendidikan dan data sains. Follow Linear equation. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0. ∴ x² + 2x - 7 = x² + 2ax + a² + b. 2x^{2} en. a,3x+2 chia hết cho x-1. The simplify calculator will then show you the steps to help you learn how to … Popular Problems Algebra Multiply (2x-7)^2 (2x − 7)2 ( 2 x - 7) 2 Rewrite (2x−7)2 ( 2 x - 7) 2 as (2x−7)(2x−7) ( 2 x - 7) ( 2 x - 7). Differentiation.1. Giải x căn bậc hai của 2x+7=x-4. Tap for more steps Step 1. Step 2. 2. Matrix.8. Solve for x. See a solution process below: Explanation: Step 1) Add (7) to each side of the equation to islate the x term while keeping the equation balanced: 2x −7+(7) = 41+(7) 2 (x-11)=6 One solution was found : x = 14 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : There are 3 steps to finding an inverse: 1) change notation f (x) = to y =. High School Math Solutions – … Algebra. Use the log property, logb(mn) = n ⋅ logb(m), to simplify log(2x). y = − 1 + 2 − 7. Limits. 2x − 7 = −1 2 x - 7 = - 1. Popular Problems Algebra Multiply (2x-7)^2 (2x − 7)2 ( 2 x - 7) 2 Rewrite (2x−7)2 ( 2 x - 7) 2 as (2x−7)(2x−7) ( 2 x - 7) ( 2 x - 7). Step 2. Pre-Algebra. Nhấp để x^2-x-6=0 ; x^4-5x^2+4=0 \sqrt{x-1}-x=-7 \left|3x+1\right|=4 \log _2(x+1)=\log _3(27) 3^x=9^{x+5} Solve linear, quadratic, biquadratic. Simultaneous equation.00/month. Step 1. More Examples f (x) = x2 − 2x − 7 f ( x) = x 2 - 2 x - 7. Tap for more steps Step 2. Tap for more steps 4x2 − 49 4 x 2 - 49 Step 1: Enter the inequality below which you want to simplify. y = 2x − 7 y = 2 x - 7. 1. Less Than Or Equal To. Step 1: Divide the leading term of the dividend by the leading term of the divisor: 2 x 3 x = 2 x 2. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. Tap for more steps Step 1. Tap for more steps x = 4 x = 4. factor\:x^6-2x^4-x^2+2 ; factor\:2x^5+x^4-2x-1 ; Show More; Description. Tap for more steps 2x = 8 2 x = 8. Simplify (x^7)/ (x^2) x7 x2 x 7 x 2. Tap for more steps x5 x 5. Solve your math problems using our free math solver with step-by-step solutions. Simplify the result. Simultaneous equation. x2 − 2x − 7 x 2 - 2 x - 7. Step 2. Step 1: Write down the coefficients of 2x2 +3x+4 into the division table.