4a(3a+b)=

Solution for 4a(3a+b)= equation:

Simplifying
4a(3a + b) = 0
(3a * 4a + b * 4a) = 0

Reorder the terms:
(4ab + 12a2) = 0
(4ab + 12a2) = 0

Solving
4ab + 12a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(b + 3a) = 0

Ignore the factor 4.
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 '(b + 3a)' equal to zero and attempt to solve:

Simplifying
b + 3a = 0

Reorder the terms:
3a + b = 0

Solving
3a + b = 0

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

Add '-1b' to each side of the equation.
3a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
3a + 0 = 0 + -1b
3a = 0 + -1b
Remove the zero:
3a = -1b

Divide each side by '3'.
a = -0.3333333333b

Simplifying
a = -0.3333333333b
Solution
a = {0, -0.3333333333b}