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

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


Simplifying
(2x2 + -1y2 + -3)(xy + -1y) = 0

Reorder the terms:
(-3 + 2x2 + -1y2)(xy + -1y) = 0

Multiply (-3 + 2x2 + -1y2) * (xy + -1y)
(-3(xy + -1y) + 2x2 * (xy + -1y) + -1y2 * (xy + -1y)) = 0
((xy * -3 + -1y * -3) + 2x2 * (xy + -1y) + -1y2 * (xy + -1y)) = 0
((-3xy + 3y) + 2x2 * (xy + -1y) + -1y2 * (xy + -1y)) = 0
(-3xy + 3y + (xy * 2x2 + -1y * 2x2) + -1y2 * (xy + -1y)) = 0

Reorder the terms:
(-3xy + 3y + (-2x2y + 2x3y) + -1y2 * (xy + -1y)) = 0
(-3xy + 3y + (-2x2y + 2x3y) + -1y2 * (xy + -1y)) = 0
(-3xy + 3y + -2x2y + 2x3y + (xy * -1y2 + -1y * -1y2)) = 0
(-3xy + 3y + -2x2y + 2x3y + (-1xy3 + 1y3)) = 0

Reorder the terms:
(-3xy + -1xy3 + -2x2y + 2x3y + 3y + 1y3) = 0
(-3xy + -1xy3 + -2x2y + 2x3y + 3y + 1y3) = 0

Solving
-3xy + -1xy3 + -2x2y + 2x3y + 3y + 1y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-3x + -1xy2 + -2x2 + 2x3 + 3 + y2) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 + -1xy2 + -2x2 + 2x3 + 3 + y2)' equal to zero and attempt to solve: Simplifying -3x + -1xy2 + -2x2 + 2x3 + 3 + y2 = 0 Reorder the terms: 3 + -3x + -1xy2 + -2x2 + 2x3 + y2 = 0 Solving 3 + -3x + -1xy2 + -2x2 + 2x3 + 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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