(x^3-x^2y)(x^2y-y^2)=0

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Solution for (x^3-x^2y)(x^2y-y^2)=0 equation:


Simplifying
(x3 + -1x2y)(x2y + -1y2) = 0

Reorder the terms:
(-1x2y + x3)(x2y + -1y2) = 0

Multiply (-1x2y + x3) * (x2y + -1y2)
(-1x2y * (x2y + -1y2) + x3(x2y + -1y2)) = 0
((x2y * -1x2y + -1y2 * -1x2y) + x3(x2y + -1y2)) = 0

Reorder the terms:
((1x2y3 + -1x4y2) + x3(x2y + -1y2)) = 0
((1x2y3 + -1x4y2) + x3(x2y + -1y2)) = 0
(1x2y3 + -1x4y2 + (x2y * x3 + -1y2 * x3)) = 0

Reorder the terms:
(1x2y3 + -1x4y2 + (-1x3y2 + x5y)) = 0
(1x2y3 + -1x4y2 + (-1x3y2 + x5y)) = 0

Reorder the terms:
(1x2y3 + -1x3y2 + -1x4y2 + x5y) = 0
(1x2y3 + -1x3y2 + -1x4y2 + x5y) = 0

Solving
1x2y3 + -1x3y2 + -1x4y2 + x5y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y'.
x2y(y2 + -1xy + -1x2y + x3) = 0

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 + -1xy + -1x2y + x3)' equal to zero and attempt to solve: Simplifying y2 + -1xy + -1x2y + x3 = 0 Reorder the terms: -1xy + -1x2y + x3 + y2 = 0 Solving -1xy + -1x2y + x3 + y2 = 0 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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