3x^2y^3+6xy^2=0

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Solution for 3x^2y^3+6xy^2=0 equation:


Simplifying
3x2y3 + 6xy2 = 0

Reorder the terms:
6xy2 + 3x2y3 = 0

Solving
6xy2 + 3x2y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy2'.
3xy2(2 + xy) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(2 + xy)' equal to zero and attempt to solve: Simplifying 2 + xy = 0 Solving 2 + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + xy = 0 + -2 xy = 0 + -2 Combine like terms: 0 + -2 = -2 xy = -2 Divide each side by 'y'. x = -2y-1 Simplifying x = -2y-1

Solution

x = {-2y-1}

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