(6ab)(2a)=3ab

Solution for (6ab)(2a)=3ab equation:

Simplifying
(6ab)(2a) = 3ab

Remove parenthesis around (6ab)
6ab(2a) = 3ab

Remove parenthesis around (2a)
6ab * 2a = 3ab

Reorder the terms for easier multiplication:
6 * 2ab * a = 3ab

Multiply 6 * 2
12ab * a = 3ab

Multiply ab * a
12a2b = 3ab

Solving
12a2b = 3ab

Solving for variable 'a'.

Reorder the terms:
-3ab + 12a2b = 3ab + -3ab

Combine like terms: 3ab + -3ab = 0
-3ab + 12a2b = 0

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

Simplifying
-1 + 4a = 0

Solving
-1 + 4a = 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 + 4a = 0 + 1

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

Combine like terms: 0 + 1 = 1
4a = 1

Divide each side by '4'.
a = 0.25

Simplifying
a = 0.25
Solution
a = {0.25}