128=128x-32x^2

Solution for 128=128x-32x^2 equation:

Simplifying
128 = 128x + -32x2

Solving
128 = 128x + -32x2

Solving for variable 'x'.

Reorder the terms:
128 + -128x + 32x2 = 128x + -128x + -32x2 + 32x2

Combine like terms: 128x + -128x = 0
128 + -128x + 32x2 = 0 + -32x2 + 32x2
128 + -128x + 32x2 = -32x2 + 32x2

Combine like terms: -32x2 + 32x2 = 0
128 + -128x + 32x2 = 0

Factor out the Greatest Common Factor (GCF), '32'.
32(4 + -4x + x2) = 0

Factor a trinomial.
32((2 + -1x)(2 + -1x)) = 0

Ignore the factor 32.
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2, 2}