45x^3y-80xy^3=

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Solution for 45x^3y-80xy^3= equation: 


Simplifying
45x3y + -80xy3 = 0

Reorder the terms:
-80xy3 + 45x3y = 0

Solving
-80xy3 + 45x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5xy'.
5xy(-16y2 + 9x2) = 0

Factor a difference between two squares.
5xy((4y + 3x)(-4y + 3x)) = 0

Ignore the factor 5.

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 '(4y + 3x)' equal to zero and attempt to solve:

Simplifying
4y + 3x = 0

Reorder the terms:
3x + 4y = 0

Solving
3x + 4y = 0

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

Add '-4y' to each side of the equation.
3x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 0 + -4y
3x = 0 + -4y
Remove the zero:
3x = -4y

Divide each side by '3'.
x = -1.333333333y

Simplifying
x = -1.333333333y

Subproblem 3
Set the factor '(-4y + 3x)' equal to zero and attempt to solve:

Simplifying
-4y + 3x = 0

Reorder the terms:
3x + -4y = 0

Solving
3x + -4y = 0

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

Add '4y' to each side of the equation.
3x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 0 + 4y
3x = 0 + 4y
Remove the zero:
3x = 4y

Divide each side by '3'.
x = 1.333333333y

Simplifying
x = 1.333333333y
Solution
x = {-1.333333333y, 1.333333333y}

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