b^2=-11b-30

Solution for b^2=-11b-30 equation:

Simplifying
b2 = -11b + -30

Reorder the terms:
b2 = -30 + -11b

Solving
b2 = -30 + -11b

Solving for variable 'b'.

Reorder the terms:
30 + 11b + b2 = -30 + -11b + 30 + 11b

Reorder the terms:
30 + 11b + b2 = -30 + 30 + -11b + 11b

Combine like terms: -30 + 30 = 0
30 + 11b + b2 = 0 + -11b + 11b
30 + 11b + b2 = -11b + 11b

Combine like terms: -11b + 11b = 0
30 + 11b + b2 = 0

Factor a trinomial.
(6 + b)(5 + 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 '(5 + b)' equal to zero and attempt to solve:

Simplifying
5 + b = 0

Solving
5 + b = 0

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

Add '-5' to each side of the equation.
5 + -5 + b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + b = 0 + -5
b = 0 + -5

Combine like terms: 0 + -5 = -5
b = -5

Simplifying
b = -5
Solution
b = {-6, -5}