4a(4+6b)=

Solution for 4a(4+6b)= equation:

Simplifying
4a(4 + 6b) = 0
(4 * 4a + 6b * 4a) = 0
(16a + 24ab) = 0

Solving
16a + 24ab = 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), '8a'.
8a(2 + 3b) = 0

Ignore the factor 8.
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 + 3b)' equal to zero and attempt to solve:

Simplifying
2 + 3b = 0

Solving
2 + 3b = 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 + 3b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3b = 0 + -2
3b = 0 + -2

Combine like terms: 0 + -2 = -2
3b = -2

Add '-3b' to each side of the equation.
3b + -3b = -2 + -3b

Combine like terms: 3b + -3b = 0
0 = -2 + -3b

Simplifying
0 = -2 + -3b

The solution to this equation could not be determined.

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