0=2xy-2xz

Solution for 0=2xy-2xz equation:

Simplifying
0 = 2xy + -2xz

Solving
0 = 2xy + -2xz

Solving for variable 'x'.

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

Add '-2xy' to each side of the equation.
0 + -2xy = 2xy + -2xy + -2xz
Remove the zero:
-2xy = 2xy + -2xy + -2xz

Combine like terms: 2xy + -2xy = 0
-2xy = 0 + -2xz
-2xy = -2xz

Add '2xz' to each side of the equation.
-2xy + 2xz = -2xz + 2xz

Combine like terms: -2xz + 2xz = 0
-2xy + 2xz = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1y + z) = 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 '(-1y + z)' equal to zero and attempt to solve:

Simplifying
-1y + z = 0

Solving
-1y + z = 0

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

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

Combine like terms: -1y + y = 0
0 + z = 0 + y
z = 0 + y
Remove the zero:
z = y

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

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

Simplifying
0 = y + -1z

The solution to this equation could not be determined.

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