b^2+11b=-24

Solution for b^2+11b=-24 equation:

Simplifying
b2 + 11b = -24

Reorder the terms:
11b + b2 = -24

Solving
11b + b2 = -24

Solving for variable 'b'.

Reorder the terms:
24 + 11b + b2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 11b + b2 = 0

Factor a trinomial.
(8 + b)(3 + b) = 0

Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve:

Simplifying
8 + b = 0

Solving
8 + b = 0

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

Add '-8' to each side of the equation.
8 + -8 + b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + b = 0 + -8
b = 0 + -8

Combine like terms: 0 + -8 = -8
b = -8

Simplifying
b = -8
Subproblem 2
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 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 + b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + b = 0 + -3
b = 0 + -3

Combine like terms: 0 + -3 = -3
b = -3

Simplifying
b = -3
Solution
b = {-8, -3}