5x^3y^2+10xy^3=0

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Solution for 5x^3y^2+10xy^3=0 equation:


Simplifying
5x3y2 + 10xy3 = 0

Reorder the terms:
10xy3 + 5x3y2 = 0

Solving
10xy3 + 5x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5xy2'.
5xy2(2y + x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(2y + x2)' equal to zero and attempt to solve: Simplifying 2y + x2 = 0 Reorder the terms: x2 + 2y = 0 Solving x2 + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x2 + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x2 + 0 = 0 + -2y x2 = 0 + -2y Remove the zero: x2 = -2y Simplifying x2 = -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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