12(3x+6)(x-2)=0

Solution for 12(3x+6)(x-2)=0 equation:

Simplifying
12(3x + 6)(x + -2) = 0

Reorder the terms:
12(6 + 3x)(x + -2) = 0

Reorder the terms:
12(6 + 3x)(-2 + x) = 0

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

Combine like terms: 6x + -6x = 0
12(-12 + 0 + 3x2) = 0
12(-12 + 3x2) = 0
(-12 * 12 + 3x2 * 12) = 0
(-144 + 36x2) = 0

Solving
-144 + 36x2 = 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 + 36x2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 36x2 = 0 + 144
36x2 = 0 + 144

Combine like terms: 0 + 144 = 144
36x2 = 144

Divide each side by '36'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}