-4x(-2y+6)=

Solution for -4x(-2y+6)= equation:

Simplifying
-4x(-2y + 6) = 0

Reorder the terms:
-4x(6 + -2y) = 0
(6 * -4x + -2y * -4x) = 0
(-24x + 8xy) = 0

Solving
-24x + 8xy = 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), '8x'.
8x(-3 + y) = 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 '(-3 + y)' equal to zero and attempt to solve:

Simplifying
-3 + y = 0

Solving
-3 + y = 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 + y = 0 + 3

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

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

Add '-1y' to each side of the equation.
y + -1y = 3 + -1y

Combine like terms: y + -1y = 0
0 = 3 + -1y

Simplifying
0 = 3 + -1y

The solution to this equation could not be determined.

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