b(b+7)=-6

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

Simplifying
b(b + 7) = -6

Reorder the terms:
b(7 + b) = -6
(7 * b + b * b) = -6
(7b + b2) = -6

Solving
7b + b2 = -6

Solving for variable 'b'.

Reorder the terms:
6 + 7b + b2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 7b + b2 = 0

Factor a trinomial.
(6 + b)(1 + b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve:

Simplifying
1 + b = 0

Solving
1 + b = 0

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

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

Combine like terms: 1 + -1 = 0
0 + b = 0 + -1
b = 0 + -1

Combine like terms: 0 + -1 = -1
b = -1

Simplifying
b = -1
Solution
b = {-6, -1}