3a(8-4b)=

Solution for 3a(8-4b)= equation:

Simplifying
3a(8 + -4b) = 0
(8 * 3a + -4b * 3a) = 0
(24a + -12ab) = 0

Solving
24a + -12ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '12a'.
12a(2 + -1b) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Add 'b' to each side of the equation.
-1b + b = -2 + b

Combine like terms: -1b + b = 0
0 = -2 + b

Simplifying
0 = -2 + b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}