2(x-4)(x-4)=128

Solution for 2(x-4)(x-4)=128 equation:

Simplifying
2(x + -4)(x + -4) = 128

Reorder the terms:
2(-4 + x)(x + -4) = 128

Reorder the terms:
2(-4 + x)(-4 + x) = 128

Multiply (-4 + x) * (-4 + x)
2(-4(-4 + x) + x(-4 + x)) = 128
2((-4 * -4 + x * -4) + x(-4 + x)) = 128
2((16 + -4x) + x(-4 + x)) = 128
2(16 + -4x + (-4 * x + x * x)) = 128
2(16 + -4x + (-4x + x2)) = 128

Combine like terms: -4x + -4x = -8x
2(16 + -8x + x2) = 128
(16 * 2 + -8x * 2 + x2 * 2) = 128
(32 + -16x + 2x2) = 128

Solving
32 + -16x + 2x2 = 128

Solving for variable 'x'.

Reorder the terms:
32 + -128 + -16x + 2x2 = 128 + -128

Combine like terms: 32 + -128 = -96
-96 + -16x + 2x2 = 128 + -128

Combine like terms: 128 + -128 = 0
-96 + -16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + -8x + x2) = 0

Factor a trinomial.
2((-4 + -1x)(12 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-4, 12}