5x^3y^3(x-y)=0

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Solution for 5x^3y^3(x-y)=0 equation:


Simplifying
5x3y3(x + -1y) = 0
(x * 5x3y3 + -1y * 5x3y3) = 0

Reorder the terms:
(-5x3y4 + 5x4y3) = 0
(-5x3y4 + 5x4y3) = 0

Solving
-5x3y4 + 5x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x3y3'.
5x3y3(-1y + x) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x3y3' equal to zero and attempt to solve: Simplifying x3y3 = 0 Solving x3y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y3 = 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 + x)' equal to zero and attempt to solve: Simplifying -1y + x = 0 Reorder the terms: x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = y

Solution

x = {y}

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