b^2+14=-9b

Solution for b^2+14=-9b equation:

Simplifying
b2 + 14 = -9b

Reorder the terms:
14 + b2 = -9b

Solving
14 + b2 = -9b

Solving for variable 'b'.

Reorder the terms:
14 + 9b + b2 = -9b + 9b

Combine like terms: -9b + 9b = 0
14 + 9b + b2 = 0

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

Subproblem 1
Set the factor '(7 + b)' equal to zero and attempt to solve:

Simplifying
7 + b = 0

Solving
7 + b = 0

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

Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7

Combine like terms: 0 + -7 = -7
b = -7

Simplifying
b = -7
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 = {-7, -2}