(x-4)(x-4)(2)=72

Solution for (x-4)(x-4)(2)=72 equation:

Simplifying
(x + -4)(x + -4)(2) = 72

Reorder the terms:
(-4 + x)(x + -4)(2) = 72

Reorder the terms:
(-4 + x)(-4 + x)(2) = 72

Reorder the terms for easier multiplication:
2(-4 + x)(-4 + x) = 72

Multiply (-4 + x) * (-4 + x)
2(-4(-4 + x) + x(-4 + x)) = 72
2((-4 * -4 + x * -4) + x(-4 + x)) = 72
2((16 + -4x) + x(-4 + x)) = 72
2(16 + -4x + (-4 * x + x * x)) = 72
2(16 + -4x + (-4x + x2)) = 72

Combine like terms: -4x + -4x = -8x
2(16 + -8x + x2) = 72
(16 * 2 + -8x * 2 + x2 * 2) = 72
(32 + -16x + 2x2) = 72

Solving
32 + -16x + 2x2 = 72

Solving for variable 'x'.

Reorder the terms:
32 + -72 + -16x + 2x2 = 72 + -72

Combine like terms: 32 + -72 = -40
-40 + -16x + 2x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-40 + -16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -8x + x2) = 0

Factor a trinomial.
2((-2 + -1x)(10 + -1x)) = 0

Ignore the factor 2.
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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-2, 10}