8x^3y-50xy^3=0

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Solution for 8x^3y-50xy^3=0 equation:


Simplifying
8x3y + -50xy3 = 0

Reorder the terms:
-50xy3 + 8x3y = 0

Solving
-50xy3 + 8x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(-25y2 + 4x2) = 0

Factor a difference between two squares.
2xy((5y + 2x)(-5y + 2x)) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 5y + 2x = 0 Reorder the terms: 2x + 5y = 0 Solving 2x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 0 + -5y 2x = 0 + -5y Remove the zero: 2x = -5y Divide each side by '2'. x = -2.5y Simplifying x = -2.5y

Subproblem 3

Set the factor '(-5y + 2x)' equal to zero and attempt to solve: Simplifying -5y + 2x = 0 Reorder the terms: 2x + -5y = 0 Solving 2x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 2x + 0 = 0 + 5y 2x = 0 + 5y Remove the zero: 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5y

Solution

x = {-2.5y, 2.5y}

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