If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -5x2 + 100x + -250 Reorder the terms: 0 = -250 + 100x + -5x2 Solving 0 = -250 + 100x + -5x2 Solving for variable 'x'. Combine like terms: 0 + 250 = 250 250 + -100x + 5x2 = -250 + 100x + -5x2 + 250 + -100x + 5x2 Reorder the terms: 250 + -100x + 5x2 = -250 + 250 + 100x + -100x + -5x2 + 5x2 Combine like terms: -250 + 250 = 0 250 + -100x + 5x2 = 0 + 100x + -100x + -5x2 + 5x2 250 + -100x + 5x2 = 100x + -100x + -5x2 + 5x2 Combine like terms: 100x + -100x = 0 250 + -100x + 5x2 = 0 + -5x2 + 5x2 250 + -100x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 250 + -100x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(50 + -20x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(50 + -20x + x2)' equal to zero and attempt to solve: Simplifying 50 + -20x + x2 = 0 Solving 50 + -20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + -20x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + -20x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -20x + x2 = 0 + -50 -20x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 -20x + x2 = -50 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -50 + 100 Reorder the terms: 100 + -20x + x2 = -50 + 100 Combine like terms: -50 + 100 = 50 100 + -20x + x2 = 50 Factor a perfect square on the left side: (x + -10)(x + -10) = 50 Calculate the square root of the right side: 7.071067812 Break this problem into two subproblems by setting (x + -10) equal to 7.071067812 and -7.071067812.Subproblem 1
x + -10 = 7.071067812 Simplifying x + -10 = 7.071067812 Reorder the terms: -10 + x = 7.071067812 Solving -10 + x = 7.071067812 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 7.071067812 + 10 Combine like terms: -10 + 10 = 0 0 + x = 7.071067812 + 10 x = 7.071067812 + 10 Combine like terms: 7.071067812 + 10 = 17.071067812 x = 17.071067812 Simplifying x = 17.071067812Subproblem 2
x + -10 = -7.071067812 Simplifying x + -10 = -7.071067812 Reorder the terms: -10 + x = -7.071067812 Solving -10 + x = -7.071067812 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = -7.071067812 + 10 Combine like terms: -10 + 10 = 0 0 + x = -7.071067812 + 10 x = -7.071067812 + 10 Combine like terms: -7.071067812 + 10 = 2.928932188 x = 2.928932188 Simplifying x = 2.928932188Solution
The solution to the problem is based on the solutions from the subproblems. x = {17.071067812, 2.928932188}Solution
x = {17.071067812, 2.928932188}
| 5x^2+29x+48=0 | | 48x^2+354x-30=0 | | 18+b=38 | | 3(3)+17= | | 6x+2x=63 | | 18=5p+48 | | 0=(x^2)+6x+2800 | | 3(x+5)=3(x+12) | | -4(a+2.5)-5(1.2a-4)= | | 10v-2=7v-7.4 | | (5x-8)(3x+20)=138 | | -4f-(-8)=-4f+-8 | | 2x-5+2x-5+x=180 | | -7b-b-b-(-3)=12 | | 15x=45+6-4 | | 10-[a+7]ifa=-1.5 | | .7x+1=.5 | | 4q+2n=7.6 | | Y=-16t^2+128t+320 | | 8b+12-b=2m-4 | | 3+2(2y+5)=5 | | -2h-8=-1-4 | | 16x-2=5(3x+4)-18 | | 1.25(x+6)+1.25x=27.5 | | -3+6=-3x+6 | | -84=6(n-4)+4n | | 5(x-3)-(-x+12)= | | 4x+5-2x+2=3 | | 7(x+7)=7(x+11) | | 5-(4u+7)=-26 | | -2m=-5 | | 2x+13=0.5x-4 |