=b^2+22b+21

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

Simplifying
0 = b2 + 22b + 21

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

Solving
0 = 21 + 22b + b2

Solving for variable 'b'.

Combine like terms: 0 + -21 = -21
-21 + -22b + -1b2 = 21 + 22b + b2 + -21 + -22b + -1b2

Reorder the terms:
-21 + -22b + -1b2 = 21 + -21 + 22b + -22b + b2 + -1b2

Combine like terms: 21 + -21 = 0
-21 + -22b + -1b2 = 0 + 22b + -22b + b2 + -1b2
-21 + -22b + -1b2 = 22b + -22b + b2 + -1b2

Combine like terms: 22b + -22b = 0
-21 + -22b + -1b2 = 0 + b2 + -1b2
-21 + -22b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-21 + -22b + -1b2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(21 + 22b + b2) = 0

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

Ignore the factor -1.
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}