(b+6)(b+7)=0

Solution for (b+6)(b+7)=0 equation:

Simplifying
(b + 6)(b + 7) = 0

Reorder the terms:
(6 + b)(b + 7) = 0

Reorder the terms:
(6 + b)(7 + b) = 0

Multiply (6 + b) * (7 + b)
(6(7 + b) + b(7 + b)) = 0
((7 * 6 + b * 6) + b(7 + b)) = 0
((42 + 6b) + b(7 + b)) = 0
(42 + 6b + (7 * b + b * b)) = 0
(42 + 6b + (7b + b2)) = 0

Combine like terms: 6b + 7b = 13b
(42 + 13b + b2) = 0

Solving
42 + 13b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(7 + b)(6 + b) = 0

Subproblem 1
Set the factor '(7 + b)' equal to zero and attempt to solve:

Simplifying
7 + b = 0

Solving
7 + b = 0

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

Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7

Combine like terms: 0 + -7 = -7
b = -7

Simplifying
b = -7
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 = {-7, -6}