x^4y^2+xy^5=0

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Solution for x^4y^2+xy^5=0 equation:


Simplifying
x4y2 + xy5 = 0

Reorder the terms:
xy5 + x4y2 = 0

Solving
xy5 + x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy2'.
xy2(y3 + x3) = 0

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 '(y3 + x3)' equal to zero and attempt to solve: Simplifying y3 + x3 = 0 Reorder the terms: x3 + y3 = 0 Solving x3 + y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y3' to each side of the equation. x3 + y3 + -1y3 = 0 + -1y3 Combine like terms: y3 + -1y3 = 0 x3 + 0 = 0 + -1y3 x3 = 0 + -1y3 Remove the zero: x3 = -1y3 Simplifying x3 = -1y3 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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