x^2y+xy^3=0

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


Simplifying
x2y + xy3 = 0

Reorder the terms:
xy3 + x2y = 0

Solving
xy3 + x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(y2 + x) = 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 '(y2 + x)' equal to zero and attempt to solve: Simplifying y2 + x = 0 Reorder the terms: x + y2 = 0 Solving x + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. x + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 x + 0 = 0 + -1y2 x = 0 + -1y2 Remove the zero: x = -1y2 Simplifying x = -1y2

Solution

x = {-1y2}

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