12a^2b^2-3ab=0

Solution for 12a^2b^2-3ab=0 equation:

Simplifying
12a2b2 + -3ab = 0

Reorder the terms:
-3ab + 12a2b2 = 0

Solving
-3ab + 12a2b2 = 0

Solving for variable 'a'.

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}