-160x^2+160x=256

Solution for -160x^2+160x=256 equation:

Simplifying
-160x2 + 160x = 256

Reorder the terms:
160x + -160x2 = 256

Solving
160x + -160x2 = 256

Solving for variable 'x'.

Reorder the terms:
-256 + 160x + -160x2 = 256 + -256

Combine like terms: 256 + -256 = 0
-256 + 160x + -160x2 = 0

Factor out the Greatest Common Factor (GCF), '32'.
32(-8 + 5x + -5x2) = 0

Ignore the factor 32.
Subproblem 1
Set the factor '(-8 + 5x + -5x2)' equal to zero and attempt to solve:

Simplifying
-8 + 5x + -5x2 = 0

Solving
-8 + 5x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.6 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -1x + -1.6 + x2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -1x + x2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -1x + x2 = 0 + -1.6
-1x + x2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-1x + x2 = -1.6

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.6 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.6 + 0.25

Combine like terms: -1.6 + 0.25 = -1.35
0.25 + -1x + x2 = -1.35

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.35

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.