2x^3y-6x^2y^2-80xy^3=

Solution for 2x^3y-6x^2y^2-80xy^3= equation:

Simplifying
2x3y + -6x2y2 + -80xy3 = 0

Reorder the terms:
-80xy3 + -6x2y2 + 2x3y = 0

Solving
-80xy3 + -6x2y2 + 2x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(-40y2 + -3xy + x2) = 0

Factor a trinomial.
2xy((-5y + -1x)(8y + -1x)) = 0

Ignore the factor 2.
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 '(-5y + -1x)' equal to zero and attempt to solve:

Simplifying
-5y + -1x = 0

Reorder the terms:
-1x + -5y = 0

Solving
-1x + -5y = 0

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

Add '5y' to each side of the equation.
-1x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
-1x + 0 = 0 + 5y
-1x = 0 + 5y
Remove the zero:
-1x = 5y

Divide each side by '-1'.
x = -5y

Simplifying
x = -5y
Subproblem 3
Set the factor '(8y + -1x)' equal to zero and attempt to solve:

Simplifying
8y + -1x = 0

Reorder the terms:
-1x + 8y = 0

Solving
-1x + 8y = 0

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

Add '-8y' to each side of the equation.
-1x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
-1x + 0 = 0 + -8y
-1x = 0 + -8y
Remove the zero:
-1x = -8y

Divide each side by '-1'.
x = 8y

Simplifying
x = 8y
Solution
x = {-5y, 8y}