2x^3y+6x^2y^2+8xy^3=2xy

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Solution for 2x^3y+6x^2y^2+8xy^3=2xy equation:


Simplifying
2x3y + 6x2y2 + 8xy3 = 2xy

Reorder the terms:
8xy3 + 6x2y2 + 2x3y = 2xy

Solving
8xy3 + 6x2y2 + 2x3y = 2xy

Solving for variable 'x'.

Reorder the terms:
-2xy + 8xy3 + 6x2y2 + 2x3y = 2xy + -2xy

Combine like terms: 2xy + -2xy = 0
-2xy + 8xy3 + 6x2y2 + 2x3y = 0

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(-1 + 4y2 + 3xy + x2) = 0

Ignore the factor 2.

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 '(-1 + 4y2 + 3xy + x2)' equal to zero and attempt to solve: Simplifying -1 + 4y2 + 3xy + x2 = 0 Reorder the terms: -1 + 3xy + x2 + 4y2 = 0 Solving -1 + 3xy + x2 + 4y2 = 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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