75x^3y-48xy^3=0

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Solution for 75x^3y-48xy^3=0 equation: 


Simplifying
75x3y + -48xy3 = 0

Reorder the terms:
-48xy3 + 75x3y = 0

Solving
-48xy3 + 75x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(-16y2 + 25x2) = 0

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

Ignore the factor 3.

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 + 5x)' equal to zero and attempt to solve:

Simplifying
4y + 5x = 0

Reorder the terms:
5x + 4y = 0

Solving
5x + 4y = 0

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

Add '-4y' to each side of the equation.
5x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
5x + 0 = 0 + -4y
5x = 0 + -4y
Remove the zero:
5x = -4y

Divide each side by '5'.
x = -0.8y

Simplifying
x = -0.8y

Subproblem 3
Set the factor '(-4y + 5x)' equal to zero and attempt to solve:

Simplifying
-4y + 5x = 0

Reorder the terms:
5x + -4y = 0

Solving
5x + -4y = 0

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

Add '4y' to each side of the equation.
5x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
5x + 0 = 0 + 4y
5x = 0 + 4y
Remove the zero:
5x = 4y

Divide each side by '5'.
x = 0.8y

Simplifying
x = 0.8y
Solution
x = {-0.8y, 0.8y}

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