y^3x+y^2x^2-3y^2x-3yx^2=0

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


Simplifying
y3x + y2x2 + -3y2x + -3yx2 = 0

Reorder the terms:
-3xy2 + xy3 + -3x2y + x2y2 = 0

Solving
-3xy2 + xy3 + -3x2y + x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-3y + y2 + -3x + xy) = 0

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 '(-3y + y2 + -3x + xy)' equal to zero and attempt to solve: Simplifying -3y + y2 + -3x + xy = 0 Reorder the terms: -3x + xy + -3y + y2 = 0 Solving -3x + xy + -3y + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -3x + xy + -3y + 3y + y2 = 0 + 3y Combine like terms: -3y + 3y = 0 -3x + xy + 0 + y2 = 0 + 3y -3x + xy + y2 = 0 + 3y Remove the zero: -3x + xy + y2 = 3y Add '-1y2' to each side of the equation. -3x + xy + y2 + -1y2 = 3y + -1y2 Combine like terms: y2 + -1y2 = 0 -3x + xy + 0 = 3y + -1y2 -3x + xy = 3y + -1y2 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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