2(x-12)(x-12)=72

Solution for 2(x-12)(x-12)=72 equation:

Simplifying
2(x + -12)(x + -12) = 72

Reorder the terms:
2(-12 + x)(x + -12) = 72

Reorder the terms:
2(-12 + x)(-12 + x) = 72

Multiply (-12 + x) * (-12 + x)
2(-12(-12 + x) + x(-12 + x)) = 72
2((-12 * -12 + x * -12) + x(-12 + x)) = 72
2((144 + -12x) + x(-12 + x)) = 72
2(144 + -12x + (-12 * x + x * x)) = 72
2(144 + -12x + (-12x + x2)) = 72

Combine like terms: -12x + -12x = -24x
2(144 + -24x + x2) = 72
(144 * 2 + -24x * 2 + x2 * 2) = 72
(288 + -48x + 2x2) = 72

Solving
288 + -48x + 2x2 = 72

Solving for variable 'x'.

Reorder the terms:
288 + -72 + -48x + 2x2 = 72 + -72

Combine like terms: 288 + -72 = 216
216 + -48x + 2x2 = 72 + -72

Combine like terms: 72 + -72 = 0
216 + -48x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(108 + -24x + x2) = 0

Factor a trinomial.
2((6 + -1x)(18 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {6, 18}