xy=2xy-2x-3xy

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Solution for xy=2xy-2x-3xy equation: 


Simplifying
xy = 2xy + -2x + -3xy

Reorder the terms:
xy = -2x + 2xy + -3xy

Combine like terms: 2xy + -3xy = -1xy
xy = -2x + -1xy

Solving
xy = -2x + -1xy

Solving for variable 'x'.

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

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

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

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

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

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

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

Simplifying
1 + y = 0

Solving
1 + y = 0

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

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

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

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

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

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

Simplifying
0 = -1 + -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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