6xy^5+15x^2y^3=0

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Solution for 6xy^5+15x^2y^3=0 equation: 


Simplifying
6xy5 + 15x2y3 = 0

Solving
6xy5 + 15x2y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy3'.
3xy3(2y2 + 5x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'xy3' equal to zero and attempt to solve:

Simplifying
xy3 = 0

Solving
xy3 = 0

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

Simplifying
xy3 = 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 '(2y2 + 5x)' equal to zero and attempt to solve:

Simplifying
2y2 + 5x = 0

Reorder the terms:
5x + 2y2 = 0

Solving
5x + 2y2 = 0

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

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

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

Divide each side by '5'.
x = -0.4y2

Simplifying
x = -0.4y2
Solution
x = {-0.4y2}

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