3x^2y^2(2x^3-3x^2y^2+4y^3)=

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Solution for 3x^2y^2(2x^3-3x^2y^2+4y^3)= equation:


Simplifying
3x2y2(2x3 + -3x2y2 + 4y3) = 0

Reorder the terms:
3x2y2(-3x2y2 + 2x3 + 4y3) = 0
(-3x2y2 * 3x2y2 + 2x3 * 3x2y2 + 4y3 * 3x2y2) = 0

Reorder the terms:
(12x2y5 + -9x4y4 + 6x5y2) = 0
(12x2y5 + -9x4y4 + 6x5y2) = 0

Solving
12x2y5 + -9x4y4 + 6x5y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2y2'.
3x2y2(4y3 + -3x2y2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(4y3 + -3x2y2 + 2x3)' equal to zero and attempt to solve: Simplifying 4y3 + -3x2y2 + 2x3 = 0 Reorder the terms: -3x2y2 + 2x3 + 4y3 = 0 Solving -3x2y2 + 2x3 + 4y3 = 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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