b^2+6b+14=5

Solution for b^2+6b+14=5 equation:

Simplifying
b2 + 6b + 14 = 5

Reorder the terms:
14 + 6b + b2 = 5

Solving
14 + 6b + b2 = 5

Solving for variable 'b'.

Reorder the terms:
14 + -5 + 6b + b2 = 5 + -5

Combine like terms: 14 + -5 = 9
9 + 6b + b2 = 5 + -5

Combine like terms: 5 + -5 = 0
9 + 6b + b2 = 0

Factor a trinomial.
(3 + b)(3 + b) = 0

Subproblem 1
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 0

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

Add '-3' to each side of the equation.
3 + -3 + b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + b = 0 + -3
b = 0 + -3

Combine like terms: 0 + -3 = -3
b = -3

Simplifying
b = -3
Subproblem 2
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 0

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

Add '-3' to each side of the equation.
3 + -3 + b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + b = 0 + -3
b = 0 + -3

Combine like terms: 0 + -3 = -3
b = -3

Simplifying
b = -3
Solution
b = {-3, -3}