6a^3+9a=

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

Simplifying
6a3 + 9a = 0

Reorder the terms:
9a + 6a3 = 0

Solving
9a + 6a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(3 + 2a2) = 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 '(3 + 2a2)' equal to zero and attempt to solve:

Simplifying
3 + 2a2 = 0

Solving
3 + 2a2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2a2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2a2 = 0 + -3
2a2 = 0 + -3

Combine like terms: 0 + -3 = -3
2a2 = -3

Divide each side by '2'.
a2 = -1.5

Simplifying
a2 = -1.5

The solution to this equation could not be determined.

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