4x^3y^2+8xy-12x^3y=0

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Solution for 4x^3y^2+8xy-12x^3y=0 equation:


Simplifying
4x3y2 + 8xy + -12x3y = 0

Reorder the terms:
8xy + -12x3y + 4x3y2 = 0

Solving
8xy + -12x3y + 4x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4xy'.
4xy(2 + -3x2 + x2y) = 0

Ignore the factor 4.

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 '(2 + -3x2 + x2y)' equal to zero and attempt to solve: Simplifying 2 + -3x2 + x2y = 0 Solving 2 + -3x2 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3x2 + -2 + x2y = 0 + -2 Reorder the terms: 2 + -2 + -3x2 + x2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x2 + x2y = 0 + -2 -3x2 + x2y = 0 + -2 Combine like terms: 0 + -2 = -2 -3x2 + x2y = -2 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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