512=(2x)(x)

Solution for 512=(2x)(x) equation:

Simplifying
512 = (2x)(x)

Remove parenthesis around (2x)
512 = 2x(x)

Multiply x * x
512 = 2x2

Solving
512 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
512 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
512 + -2x2 = 0

Add '-512' to each side of the equation.
512 + -512 + -2x2 = 0 + -512

Combine like terms: 512 + -512 = 0
0 + -2x2 = 0 + -512
-2x2 = 0 + -512

Combine like terms: 0 + -512 = -512
-2x2 = -512

Divide each side by '-2'.
x2 = 256

Simplifying
x2 = 256

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