If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 20 + -3200x + -160x2 = 0 Solving 20 + -3200x + -160x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '20'. 20(1 + -160x + -8x2) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(1 + -160x + -8x2)' equal to zero and attempt to solve: Simplifying 1 + -160x + -8x2 = 0 Solving 1 + -160x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -0.125 + 20x + x2 = 0 Move the constant term to the right: Add '0.125' to each side of the equation. -0.125 + 20x + 0.125 + x2 = 0 + 0.125 Reorder the terms: -0.125 + 0.125 + 20x + x2 = 0 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + 20x + x2 = 0 + 0.125 20x + x2 = 0 + 0.125 Combine like terms: 0 + 0.125 = 0.125 20x + x2 = 0.125 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 = 0.125 + 100 Reorder the terms: 100 + 20x + x2 = 0.125 + 100 Combine like terms: 0.125 + 100 = 100.125 100 + 20x + x2 = 100.125 Factor a perfect square on the left side: (x + 10)(x + 10) = 100.125 Calculate the square root of the right side: 10.006248048 Break this problem into two subproblems by setting (x + 10) equal to 10.006248048 and -10.006248048.Subproblem 1
x + 10 = 10.006248048 Simplifying x + 10 = 10.006248048 Reorder the terms: 10 + x = 10.006248048 Solving 10 + x = 10.006248048 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 = 10.006248048 + -10 Combine like terms: 10 + -10 = 0 0 + x = 10.006248048 + -10 x = 10.006248048 + -10 Combine like terms: 10.006248048 + -10 = 0.006248048 x = 0.006248048 Simplifying x = 0.006248048Subproblem 2
x + 10 = -10.006248048 Simplifying x + 10 = -10.006248048 Reorder the terms: 10 + x = -10.006248048 Solving 10 + x = -10.006248048 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 = -10.006248048 + -10 Combine like terms: 10 + -10 = 0 0 + x = -10.006248048 + -10 x = -10.006248048 + -10 Combine like terms: -10.006248048 + -10 = -20.006248048 x = -20.006248048 Simplifying x = -20.006248048Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.006248048, -20.006248048}Solution
x = {0.006248048, -20.006248048}
| -4*x^2-30*x-76=0 | | y+2z=2 | | -14t=-1-9t | | -12-7k=4-k | | (2*x+3)13=40 | | y+1.3=2 | | -7-5y=4-3y | | 2*x^2+24*x=0 | | 9-y=3-5y | | 2-y=7-3y | | 26x-1=0 | | 2-u=7-3y | | 7x+11=x-4 | | 5x-4.5=3x+2.5 | | -20z=-13 | | -4x^2+30x-76=0 | | -2-2t=-16-9t | | q=2.5 | | -2-3k=-6-5k | | -9-y=5-3y | | 9-y=1-3y | | 2-x=7-2x | | 8-3x=3x-4 | | 4x-10-(X-4)=X-4 | | x+1-xy-y=0 | | 10-160*x-80*x^2=0 | | 8-3x=x+16 | | 1-2x=x+7 | | 10-10*x-80*x^2=0 | | 4x+17=2x-3 | | 9x^2+28x+44=0 | | x^2+18x+21=9x+3 |