3a*2(ab*2+b*2)=

Solution for 3a*2(ab*2+b*2)= equation:

Simplifying
3a * 2(ab * 2 + b * 2) = 0

Reorder the terms for easier multiplication:
3a * 2(2ab + b * 2) = 0

Reorder the terms for easier multiplication:
3a * 2(2ab + 2b) = 0

Reorder the terms for easier multiplication:
3 * 2a(2ab + 2b) = 0

Multiply 3 * 2
6a(2ab + 2b) = 0
(2ab * 6a + 2b * 6a) = 0

Reorder the terms:
(12ab + 12a2b) = 0
(12ab + 12a2b) = 0

Solving
12ab + 12a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '12ab'.
12ab(1 + a) = 0

Ignore the factor 12.
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 + a)' equal to zero and attempt to solve:

Simplifying
1 + a = 0

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

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

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

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