-5x^2y^2-10x^3y^3+15x^4y^4=

Solution for -5x^2y^2-10x^3y^3+15x^4y^4= equation:

Simplifying
-5x2y2 + -10x3y3 + 15x4y4 = 0

Solving
-5x2y2 + -10x3y3 + 15x4y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2y2'.
5x2y2(-1 + -2xy + 3x2y2) = 0

Factor a trinomial.
5x2y2((-1 + -3xy)(1 + -1xy)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 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 + -3xy)' equal to zero and attempt to solve:

Simplifying
-1 + -3xy = 0

Solving
-1 + -3xy = 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 + -3xy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3xy = 0 + 1
-3xy = 0 + 1

Combine like terms: 0 + 1 = 1
-3xy = 1

Divide each side by '-3y'.
x = -0.3333333333y-1

Simplifying
x = -0.3333333333y-1
Subproblem 3
Set the factor '(1 + -1xy)' equal to zero and attempt to solve:

Simplifying
1 + -1xy = 0

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

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

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

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

Simplifying
x = y-1
Solution
x = {-0.3333333333y-1, y-1}