x(x-12)=4(-3x+64)

Solution for x(x-12)=4(-3x+64) equation:

Simplifying
x(x + -12) = 4(-3x + 64)

Reorder the terms:
x(-12 + x) = 4(-3x + 64)
(-12 * x + x * x) = 4(-3x + 64)
(-12x + x2) = 4(-3x + 64)

Reorder the terms:
-12x + x2 = 4(64 + -3x)
-12x + x2 = (64 * 4 + -3x * 4)
-12x + x2 = (256 + -12x)

Add '12x' to each side of the equation.
-12x + 12x + x2 = 256 + -12x + 12x

Combine like terms: -12x + 12x = 0
0 + x2 = 256 + -12x + 12x
x2 = 256 + -12x + 12x

Combine like terms: -12x + 12x = 0
x2 = 256 + 0
x2 = 256

Solving
x2 = 256

Solving for variable 'x'.

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

Simplifying
x2 = 256

Take the square root of each side:
x = {-16, 16}