2x-4x(2-y)=

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

Simplifying
2x + -4x(2 + -1y) = 0
2x + (2 * -4x + -1y * -4x) = 0
2x + (-8x + 4xy) = 0

Combine like terms: 2x + -8x = -6x
-6x + 4xy = 0

Solving
-6x + 4xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 2y) = 0

Ignore the factor 2.
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 '(-3 + 2y)' equal to zero and attempt to solve:

Simplifying
-3 + 2y = 0

Solving
-3 + 2y = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 0 + 3
2y = 0 + 3

Combine like terms: 0 + 3 = 3
2y = 3

Add '-2y' to each side of the equation.
2y + -2y = 3 + -2y

Combine like terms: 2y + -2y = 0
0 = 3 + -2y

Simplifying
0 = 3 + -2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}