-2(3x-3xy)+xy=0

Solution for -2(3x-3xy)+xy=0 equation:

Simplifying
-2(3x + -3xy) + xy = 0
(3x * -2 + -3xy * -2) + xy = 0
(-6x + 6xy) + xy = 0

Combine like terms: 6xy + xy = 7xy
-6x + 7xy = 0

Solving
-6x + 7xy = 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), 'x'.
x(-6 + 7y) = 0

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 '(-6 + 7y)' equal to zero and attempt to solve:

Simplifying
-6 + 7y = 0

Solving
-6 + 7y = 0

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

Add '6' to each side of the equation.
-6 + 6 + 7y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7y = 0 + 6
7y = 0 + 6

Combine like terms: 0 + 6 = 6
7y = 6

Add '-7y' to each side of the equation.
7y + -7y = 6 + -7y

Combine like terms: 7y + -7y = 0
0 = 6 + -7y

Simplifying
0 = 6 + -7y

The solution to this equation could not be determined.

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