(3x-18)(2x+12)=

Solution for (3x-18)(2x+12)= equation:

Simplifying
(3x + -18)(2x + 12) = 0

Reorder the terms:
(-18 + 3x)(2x + 12) = 0

Reorder the terms:
(-18 + 3x)(12 + 2x) = 0

Multiply (-18 + 3x) * (12 + 2x)
(-18(12 + 2x) + 3x * (12 + 2x)) = 0
((12 * -18 + 2x * -18) + 3x * (12 + 2x)) = 0
((-216 + -36x) + 3x * (12 + 2x)) = 0
(-216 + -36x + (12 * 3x + 2x * 3x)) = 0
(-216 + -36x + (36x + 6x2)) = 0

Combine like terms: -36x + 36x = 0
(-216 + 0 + 6x2) = 0
(-216 + 6x2) = 0

Solving
-216 + 6x2 = 0

Solving for variable 'x'.

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

Add '216' to each side of the equation.
-216 + 216 + 6x2 = 0 + 216

Combine like terms: -216 + 216 = 0
0 + 6x2 = 0 + 216
6x2 = 0 + 216

Combine like terms: 0 + 216 = 216
6x2 = 216

Divide each side by '6'.
x2 = 36

Simplifying
x2 = 36

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