x^3y^2-2x^2y^2+3xy^2-6y^2=0

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


Simplifying
x3y2 + -2x2y2 + 3xy2 + -6y2 = 0

Reorder the terms:
3xy2 + -2x2y2 + x3y2 + -6y2 = 0

Solving
3xy2 + -2x2y2 + x3y2 + -6y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(3x + -2x2 + x3 + -6) = 0

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 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 '(3x + -2x2 + x3 + -6)' equal to zero and attempt to solve: Simplifying 3x + -2x2 + x3 + -6 = 0 Reorder the terms: -6 + 3x + -2x2 + x3 = 0 Solving -6 + 3x + -2x2 + x3 = 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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