3x^2y(3xy^2+2x)=0

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


Simplifying
3x2y(3xy2 + 2x) = 0

Reorder the terms:
3x2y(2x + 3xy2) = 0
(2x * 3x2y + 3xy2 * 3x2y) = 0
(6x3y + 9x3y3) = 0

Solving
6x3y + 9x3y3 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '3x3y'.
3x3y(2 + 3y2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x3y' equal to zero and attempt to solve:

Simplifying
x3y = 0

Solving
x3y = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x3y = 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 + 3y2)' equal to zero and attempt to solve:

Simplifying
2 + 3y2 = 0

Solving
2 + 3y2 = 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 + 3y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y2 = 0 + -2
3y2 = 0 + -2

Combine like terms: 0 + -2 = -2
3y2 = -2

Add '-3y2' to each side of the equation.
3y2 + -3y2 = -2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 = -2 + -3y2

Simplifying
0 = -2 + -3y2

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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