=(12+8x)*(8x-12)

Solution for =(12+8x)*(8x-12) equation:

Simplifying
0 = (12 + 8x)(8x + -12)

Reorder the terms:
0 = (12 + 8x)(-12 + 8x)

Multiply (12 + 8x) * (-12 + 8x)
0 = (12(-12 + 8x) + 8x * (-12 + 8x))
0 = ((-12 * 12 + 8x * 12) + 8x * (-12 + 8x))
0 = ((-144 + 96x) + 8x * (-12 + 8x))
0 = (-144 + 96x + (-12 * 8x + 8x * 8x))
0 = (-144 + 96x + (-96x + 64x2))

Combine like terms: 96x + -96x = 0
0 = (-144 + 0 + 64x2)
0 = (-144 + 64x2)

Solving
0 = -144 + 64x2

Solving for variable 'x'.

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

Add '-64x2' to each side of the equation.
0 + -64x2 = -144 + 64x2 + -64x2
Remove the zero:
-64x2 = -144 + 64x2 + -64x2

Combine like terms: 64x2 + -64x2 = 0
-64x2 = -144 + 0
-64x2 = -144

Divide each side by '-64'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}