6a^3+15a+9a=0

Solution for 6a^3+15a+9a=0 equation:

Simplifying
6a3 + 15a + 9a = 0

Reorder the terms:
15a + 9a + 6a3 = 0

Combine like terms: 15a + 9a = 24a
24a + 6a3 = 0

Solving
24a + 6a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(4 + a2) = 0

Ignore the factor 6.
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 '(4 + a2)' equal to zero and attempt to solve:

Simplifying
4 + a2 = 0

Solving
4 + a2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + a2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + a2 = 0 + -4
a2 = 0 + -4

Combine like terms: 0 + -4 = -4
a2 = -4

Simplifying
a2 = -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}