12a^3+6a^2b+36ab=0

Solution for 12a^3+6a^2b+36ab=0 equation:

Simplifying
12a3 + 6a2b + 36ab = 0

Reorder the terms:
36ab + 6a2b + 12a3 = 0

Solving
36ab + 6a2b + 12a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(6b + ab + 2a2) = 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 '(6b + ab + 2a2)' equal to zero and attempt to solve:

Simplifying
6b + ab + 2a2 = 0

Reorder the terms:
ab + 2a2 + 6b = 0

Solving
ab + 2a2 + 6b = 0

The solution to this equation could not be determined.

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