4x(2xy-2)=

Solution for 4x(2xy-2)= equation:

Simplifying
4x(2xy + -2) = 0

Reorder the terms:
4x(-2 + 2xy) = 0
(-2 * 4x + 2xy * 4x) = 0
(-8x + 8x2y) = 0

Solving
-8x + 8x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(-1 + xy) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1 + xy)' equal to zero and attempt to solve:

Simplifying
-1 + xy = 0

Solving
-1 + xy = 0

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

Add '1' to each side of the equation.
-1 + 1 + xy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + xy = 0 + 1
xy = 0 + 1

Combine like terms: 0 + 1 = 1
xy = 1

Divide each side by 'y'.
x = y-1

Simplifying
x = y-1
Solution
x = {0, y-1}