3b(4bc+6)=

Solution for 3b(4bc+6)= equation:

Simplifying
3b(4bc + 6) = 0

Reorder the terms:
3b(6 + 4bc) = 0
(6 * 3b + 4bc * 3b) = 0
(18b + 12b2c) = 0

Solving
18b + 12b2c = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6b'.
6b(3 + 2bc) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(3 + 2bc)' equal to zero and attempt to solve:

Simplifying
3 + 2bc = 0

Solving
3 + 2bc = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2bc = 0 + -3

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

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

Divide each side by '2c'.
b = -1.5c-1

Simplifying
b = -1.5c-1
Solution
b = {0, -1.5c-1}