(b+6)(b+4b)=

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

Simplifying
(b + 6)(b + 4b) = 0

Reorder the terms:
(6 + b)(b + 4b) = 0

Combine like terms: b + 4b = 5b
(6 + b)(5b) = 0

Remove parenthesis around (5b)
(6 + b) * 5b = 0

Reorder the terms for easier multiplication:
5b(6 + b) = 0
(6 * 5b + b * 5b) = 0
(30b + 5b2) = 0

Solving
30b + 5b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b'.
5b(6 + b) = 0

Ignore the factor 5.
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 '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 0

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

Add '-6' to each side of the equation.
6 + -6 + b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Solution
b = {0, -6}