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

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


Simplifying
6x3y + 2x2y2 = 0

Reorder the terms:
2x2y2 + 6x3y = 0

Solving
2x2y2 + 6x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2y'.
2x2y(y + 3x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(y + 3x)' equal to zero and attempt to solve: Simplifying y + 3x = 0 Reorder the terms: 3x + y = 0 Solving 3x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 3x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 3x + 0 = 0 + -1y 3x = 0 + -1y Remove the zero: 3x = -1y Divide each side by '3'. x = -0.3333333333y Simplifying x = -0.3333333333y

Solution

x = {-0.3333333333y}

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