2xy^2+2x^2y+2xyz=0

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Solution for 2xy^2+2x^2y+2xyz=0 equation:


Simplifying
2xy2 + 2x2y + 2xyz = 0

Reorder the terms:
2xyz + 2xy2 + 2x2y = 0

Solving
2xyz + 2xy2 + 2x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(z + y + x) = 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 '(z + y + x)' equal to zero and attempt to solve: Simplifying z + y + x = 0 Reorder the terms: x + y + z = 0 Solving x + y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y + z = 0 + -1y Combine like terms: y + -1y = 0 x + 0 + z = 0 + -1y x + z = 0 + -1y Remove the zero: x + z = -1y Add '-1z' to each side of the equation. x + z + -1z = -1y + -1z Combine like terms: z + -1z = 0 x + 0 = -1y + -1z x = -1y + -1z Simplifying x = -1y + -1z

Solution

x = {-1y + -1z}

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