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

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

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

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

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

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