xy^2(x^2-4xy-5y^2)=

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Solution for xy^2(x^2-4xy-5y^2)= equation: 


Simplifying
xy2(x2 + -4xy + -5y2) = 0

Reorder the terms:
xy2(-4xy + x2 + -5y2) = 0
(-4xy * xy2 + x2 * xy2 + -5y2 * xy2) = 0

Reorder the terms:
(-5xy4 + -4x2y3 + x3y2) = 0
(-5xy4 + -4x2y3 + x3y2) = 0

Solving
-5xy4 + -4x2y3 + x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy2'.
xy2(-5y2 + -4xy + x2) = 0

Factor a trinomial.
xy2((-1y + -1x)(5y + -1x)) = 0


Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 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 '(-1y + -1x)' equal to zero and attempt to solve:

Simplifying
-1y + -1x = 0

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

Solving
-1x + -1y = 0

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

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

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

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

Simplifying
x = -1y

Subproblem 3
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
Solution
x = {-1y, 5y}

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