(2x-12)(x+6)=

Solution for (2x-12)(x+6)= equation:

Simplifying
(2x + -12)(x + 6) = 0

Reorder the terms:
(-12 + 2x)(x + 6) = 0

Reorder the terms:
(-12 + 2x)(6 + x) = 0

Multiply (-12 + 2x) * (6 + x)
(-12(6 + x) + 2x * (6 + x)) = 0
((6 * -12 + x * -12) + 2x * (6 + x)) = 0
((-72 + -12x) + 2x * (6 + x)) = 0
(-72 + -12x + (6 * 2x + x * 2x)) = 0
(-72 + -12x + (12x + 2x2)) = 0

Combine like terms: -12x + 12x = 0
(-72 + 0 + 2x2) = 0
(-72 + 2x2) = 0

Solving
-72 + 2x2 = 0

Solving for variable 'x'.

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

Add '72' to each side of the equation.
-72 + 72 + 2x2 = 0 + 72

Combine like terms: -72 + 72 = 0
0 + 2x2 = 0 + 72
2x2 = 0 + 72

Combine like terms: 0 + 72 = 72
2x2 = 72

Divide each side by '2'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}