3x^2y+9xy^2+6xy^3=

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Solution for 3x^2y+9xy^2+6xy^3= equation:


Simplifying
3x2y + 9xy2 + 6xy3 = 0

Reorder the terms:
9xy2 + 6xy3 + 3x2y = 0

Solving
9xy2 + 6xy3 + 3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(3y + 2y2 + x) = 0

Ignore the factor 3.

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

Solution

x = {-3y + -2y2}

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