b^2+20b+97=-2

Solution for b^2+20b+97=-2 equation:

Simplifying
b2 + 20b + 97 = -2

Reorder the terms:
97 + 20b + b2 = -2

Solving
97 + 20b + b2 = -2

Solving for variable 'b'.

Reorder the terms:
97 + 2 + 20b + b2 = -2 + 2

Combine like terms: 97 + 2 = 99
99 + 20b + b2 = -2 + 2

Combine like terms: -2 + 2 = 0
99 + 20b + b2 = 0

Factor a trinomial.
(11 + b)(9 + b) = 0

Subproblem 1
Set the factor '(11 + b)' equal to zero and attempt to solve:

Simplifying
11 + b = 0

Solving
11 + b = 0

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

Add '-11' to each side of the equation.
11 + -11 + b = 0 + -11

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

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

Simplifying
b = -11
Subproblem 2
Set the factor '(9 + b)' equal to zero and attempt to solve:

Simplifying
9 + b = 0

Solving
9 + b = 0

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

Add '-9' to each side of the equation.
9 + -9 + b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + b = 0 + -9
b = 0 + -9

Combine like terms: 0 + -9 = -9
b = -9

Simplifying
b = -9
Solution
b = {-11, -9}