3x^3y^2(2x^3y-4xy)+6x^4y(x^2y^2-2xy^3)=0

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Solution for 3x^3y^2(2x^3y-4xy)+6x^4y(x^2y^2-2xy^3)=0 equation:


Simplifying
3x3y2(2x3y + -4xy) + 6x4y(x2y2 + -2xy3) = 0

Reorder the terms:
3x3y2(-4xy + 2x3y) + 6x4y(x2y2 + -2xy3) = 0
(-4xy * 3x3y2 + 2x3y * 3x3y2) + 6x4y(x2y2 + -2xy3) = 0
(-12x4y3 + 6x6y3) + 6x4y(x2y2 + -2xy3) = 0

Reorder the terms:
-12x4y3 + 6x6y3 + 6x4y(-2xy3 + x2y2) = 0
-12x4y3 + 6x6y3 + (-2xy3 * 6x4y + x2y2 * 6x4y) = 0
-12x4y3 + 6x6y3 + (-12x5y4 + 6x6y3) = 0

Reorder the terms:
-12x4y3 + -12x5y4 + 6x6y3 + 6x6y3 = 0

Combine like terms: 6x6y3 + 6x6y3 = 12x6y3
-12x4y3 + -12x5y4 + 12x6y3 = 0

Solving
-12x4y3 + -12x5y4 + 12x6y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x4y3'.
12x4y3(-1 + -1xy + x2) = 0

Ignore the factor 12.

Subproblem 1

Set the factor 'x4y3' equal to zero and attempt to solve: Simplifying x4y3 = 0 Solving x4y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y3 = 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 '(-1 + -1xy + x2)' equal to zero and attempt to solve: Simplifying -1 + -1xy + x2 = 0 Solving -1 + -1xy + x2 = 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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