9a^3+18a^2=0

Solution for 9a^3+18a^2=0 equation:

Simplifying
9a3 + 18a2 = 0

Reorder the terms:
18a2 + 9a3 = 0

Solving
18a2 + 9a3 = 0

Solving for variable 'a'.

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

Ignore the factor 9.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 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 + a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + a = 0 + -2
a = 0 + -2

Combine like terms: 0 + -2 = -2
a = -2

Simplifying
a = -2
Solution
a = {0, -2}