b^2+22b+21=0

Solution for b^2+22b+21=0 equation:

Simplifying
b2 + 22b + 21 = 0

Reorder the terms:
21 + 22b + b2 = 0

Solving
21 + 22b + b2 = 0

Solving for variable 'b'.

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

Subproblem 1
Set the factor '(21 + b)' equal to zero and attempt to solve:

Simplifying
21 + b = 0

Solving
21 + b = 0

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

Add '-21' to each side of the equation.
21 + -21 + b = 0 + -21

Combine like terms: 21 + -21 = 0
0 + b = 0 + -21
b = 0 + -21

Combine like terms: 0 + -21 = -21
b = -21

Simplifying
b = -21
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 = {-21, -1}