27a^3+18a=

Solution for 27a^3+18a= equation:

Simplifying
27a3 + 18a = 0

Reorder the terms:
18a + 27a3 = 0

Solving
18a + 27a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9a'.
9a(2 + 3a2) = 0

Ignore the factor 9.
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 + 3a2)' equal to zero and attempt to solve:

Simplifying
2 + 3a2 = 0

Solving
2 + 3a2 = 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 + 3a2 = 0 + -2

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

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

Divide each side by '3'.
a2 = -0.6666666667

Simplifying
a2 = -0.6666666667

The solution to this equation could not be determined.

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