15a^3+6a=0

Solution for 15a^3+6a=0 equation:

Simplifying
15a3 + 6a = 0

Reorder the terms:
6a + 15a3 = 0

Solving
6a + 15a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(2 + 5a2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(2 + 5a2)' equal to zero and attempt to solve:

Simplifying
2 + 5a2 = 0

Solving
2 + 5a2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5a2 = 0 + -2
5a2 = 0 + -2

Combine like terms: 0 + -2 = -2
5a2 = -2

Divide each side by '5'.
a2 = -0.4

Simplifying
a2 = -0.4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}