3a^2b^2+18ab=

Solution for 3a^2b^2+18ab= equation:

Simplifying
3a2b2 + 18ab = 0

Reorder the terms:
18ab + 3a2b2 = 0

Solving
18ab + 3a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3ab'.
3ab(6 + ab) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(6 + ab)' equal to zero and attempt to solve:

Simplifying
6 + ab = 0

Solving
6 + ab = 0

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

Add '-6' to each side of the equation.
6 + -6 + ab = 0 + -6

Combine like terms: 6 + -6 = 0
0 + ab = 0 + -6
ab = 0 + -6

Combine like terms: 0 + -6 = -6
ab = -6

Divide each side by 'b'.
a = -6b-1

Simplifying
a = -6b-1
Solution
a = {-6b-1}