x^2y-xy^2=xy

Solution for x^2y-xy^2=xy equation:

Simplifying
x2y + -1xy2 = xy

Reorder the terms:
-1xy2 + x2y = xy

Solving
-1xy2 + x2y = xy

Solving for variable 'x'.

Reorder the terms:
-1xy + -1xy2 + x2y = xy + -1xy

Combine like terms: xy + -1xy = 0
-1xy + -1xy2 + x2y = 0

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-1 + -1y + x) = 0

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1 + -1y + x)' equal to zero and attempt to solve:

Simplifying
-1 + -1y + x = 0

Reorder the terms:
-1 + x + -1y = 0

Solving
-1 + x + -1y = 0

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

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

Reorder the terms:
-1 + 1 + x + -1y = 0 + 1

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

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

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

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

Simplifying
x = 1 + y
Solution
x = {1 + y}