9x^3y-64xy^3=0

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Solution for 9x^3y-64xy^3=0 equation: 


Simplifying
9x3y + -64xy3 = 0

Reorder the terms:
-64xy3 + 9x3y = 0

Solving
-64xy3 + 9x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-64y2 + 9x2) = 0

Factor a difference between two squares.
xy((8y + 3x)(-8y + 3x)) = 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 '(8y + 3x)' equal to zero and attempt to solve:

Simplifying
8y + 3x = 0

Reorder the terms:
3x + 8y = 0

Solving
3x + 8y = 0

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

Add '-8y' to each side of the equation.
3x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
3x + 0 = 0 + -8y
3x = 0 + -8y
Remove the zero:
3x = -8y

Divide each side by '3'.
x = -2.666666667y

Simplifying
x = -2.666666667y

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

Simplifying
-8y + 3x = 0

Reorder the terms:
3x + -8y = 0

Solving
3x + -8y = 0

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

Add '8y' to each side of the equation.
3x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
3x + 0 = 0 + 8y
3x = 0 + 8y
Remove the zero:
3x = 8y

Divide each side by '3'.
x = 2.666666667y

Simplifying
x = 2.666666667y
Solution
x = {-2.666666667y, 2.666666667y}

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