2xy-2x=xy

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Solution for 2xy-2x=xy equation: 


Simplifying
2xy + -2x = xy

Reorder the terms:
-2x + 2xy = xy

Solving
-2x + 2xy = xy

Solving for variable 'x'.

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

Add '-1xy' to each side of the equation.
-2x + 2xy + -1xy = xy + -1xy

Combine like terms: 2xy + -1xy = 1xy
-2x + 1xy = xy + -1xy

Combine like terms: xy + -1xy = 0
-2x + 1xy = 0

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

Simplifying
-2 + y = 0

Solving
-2 + y = 0

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

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

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

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

Add '-1y' to each side of the equation.
y + -1y = 2 + -1y

Combine like terms: y + -1y = 0
0 = 2 + -1y

Simplifying
0 = 2 + -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}

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