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

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

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

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

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

Multiply (12 + 3x) * (-12 + 3x)
(12(-12 + 3x) + 3x * (-12 + 3x)) = 0
((-12 * 12 + 3x * 12) + 3x * (-12 + 3x)) = 0
((-144 + 36x) + 3x * (-12 + 3x)) = 0
(-144 + 36x + (-12 * 3x + 3x * 3x)) = 0
(-144 + 36x + (-36x + 9x2)) = 0

Combine like terms: 36x + -36x = 0
(-144 + 0 + 9x2) = 0
(-144 + 9x2) = 0

Solving
-144 + 9x2 = 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 + 9x2 = 0 + 144

Combine like terms: -144 + 144 = 0
0 + 9x2 = 0 + 144
9x2 = 0 + 144

Combine like terms: 0 + 144 = 144
9x2 = 144

Divide each side by '9'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}