x(x+12)-12(x+12)=0

Solution for x(x+12)-12(x+12)=0 equation:

Simplifying
x(x + 12) + -12(x + 12) = 0

Reorder the terms:
x(12 + x) + -12(x + 12) = 0
(12 * x + x * x) + -12(x + 12) = 0
(12x + x2) + -12(x + 12) = 0

Reorder the terms:
12x + x2 + -12(12 + x) = 0
12x + x2 + (12 * -12 + x * -12) = 0
12x + x2 + (-144 + -12x) = 0

Reorder the terms:
-144 + 12x + -12x + x2 = 0

Combine like terms: 12x + -12x = 0
-144 + 0 + x2 = 0
-144 + x2 = 0

Solving
-144 + x2 = 0

Solving for variable 'x'.

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

Add '144' to each side of the equation.
-144 + 144 + x2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + x2 = 0 + 144
x2 = 0 + 144

Combine like terms: 0 + 144 = 144
x2 = 144

Simplifying
x2 = 144

Take the square root of each side:
x = {-12, 12}