x^2y^2+xy=0

Solution for x^2y^2+xy=0 equation:

Simplifying
x2y2 + xy = 0

Reorder the terms:
xy + x2y2 = 0

Solving
xy + x2y2 = 0

Solving for variable 'x'.

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

Simplifying
1 + xy = 0

Solving
1 + xy = 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 + xy = 0 + -1

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

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

Divide each side by 'y'.
x = -1y-1

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