6x^3y+15x^2y^3=0

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Solution for 6x^3y+15x^2y^3=0 equation: 


Simplifying
6x3y + 15x2y3 = 0

Reorder the terms:
15x2y3 + 6x3y = 0

Solving
15x2y3 + 6x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2y'.
3x2y(5y2 + 2x) = 0

Ignore the factor 3.

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 '(5y2 + 2x)' equal to zero and attempt to solve:

Simplifying
5y2 + 2x = 0

Reorder the terms:
2x + 5y2 = 0

Solving
2x + 5y2 = 0

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

Add '-5y2' to each side of the equation.
2x + 5y2 + -5y2 = 0 + -5y2

Combine like terms: 5y2 + -5y2 = 0
2x + 0 = 0 + -5y2
2x = 0 + -5y2
Remove the zero:
2x = -5y2

Divide each side by '2'.
x = -2.5y2

Simplifying
x = -2.5y2
Solution
x = {-2.5y2}

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