b^2+16b+28=0

Solution for b^2+16b+28=0 equation:

Simplifying
b2 + 16b + 28 = 0

Reorder the terms:
28 + 16b + b2 = 0

Solving
28 + 16b + b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(14 + b)(2 + b) = 0

Subproblem 1
Set the factor '(14 + b)' equal to zero and attempt to solve:

Simplifying
14 + b = 0

Solving
14 + b = 0

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

Add '-14' to each side of the equation.
14 + -14 + b = 0 + -14

Combine like terms: 14 + -14 = 0
0 + b = 0 + -14
b = 0 + -14

Combine like terms: 0 + -14 = -14
b = -14

Simplifying
b = -14
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

Add '-2' to each side of the equation.
2 + -2 + b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

Simplifying
b = -2
Solution
b = {-14, -2}