12a^2b^2=-3ab

Solution for 12a^2b^2=-3ab equation:

Simplifying
12a2b2 = -3ab

Solving
12a2b2 = -3ab

Solving for variable 'a'.

Reorder the terms:
3ab + 12a2b2 = -3ab + 3ab

Combine like terms: -3ab + 3ab = 0
3ab + 12a2b2 = 0

Factor out the Greatest Common Factor (GCF), '3ab'.
3ab(1 + 4ab) = 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 '(1 + 4ab)' equal to zero and attempt to solve:

Simplifying
1 + 4ab = 0

Solving
1 + 4ab = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4ab = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4ab = 0 + -1
4ab = 0 + -1

Combine like terms: 0 + -1 = -1
4ab = -1

Divide each side by '4b'.
a = -0.25b-1

Simplifying
a = -0.25b-1
Solution
a = {-0.25b-1}