-2x(2x+2)=4x(x-1)

Solution for -2x(2x+2)=4x(x-1) equation:

Simplifying
-2x(2x + 2) = 4x(x + -1)

Reorder the terms:
-2x(2 + 2x) = 4x(x + -1)
(2 * -2x + 2x * -2x) = 4x(x + -1)
(-4x + -4x2) = 4x(x + -1)

Reorder the terms:
-4x + -4x2 = 4x(-1 + x)
-4x + -4x2 = (-1 * 4x + x * 4x)
-4x + -4x2 = (-4x + 4x2)

Add '4x' to each side of the equation.
-4x + 4x + -4x2 = -4x + 4x + 4x2

Combine like terms: -4x + 4x = 0
0 + -4x2 = -4x + 4x + 4x2
-4x2 = -4x + 4x + 4x2

Combine like terms: -4x + 4x = 0
-4x2 = 0 + 4x2
-4x2 = 4x2

Solving
-4x2 = 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
-4x2 + -4x2 = 4x2 + -4x2

Combine like terms: -4x2 + -4x2 = -8x2
-8x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-8x2 = 0

Divide each side by '-8'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}