b^2+14b=-48

Solution for b^2+14b=-48 equation:

Simplifying
b2 + 14b = -48

Reorder the terms:
14b + b2 = -48

Solving
14b + b2 = -48

Solving for variable 'b'.

Reorder the terms:
48 + 14b + b2 = -48 + 48

Combine like terms: -48 + 48 = 0
48 + 14b + b2 = 0

Factor a trinomial.
(8 + b)(6 + b) = 0

Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve:

Simplifying
8 + b = 0

Solving
8 + b = 0

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

Add '-8' to each side of the equation.
8 + -8 + b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + b = 0 + -8
b = 0 + -8

Combine like terms: 0 + -8 = -8
b = -8

Simplifying
b = -8
Subproblem 2
Set the factor '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 0

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

Add '-6' to each side of the equation.
6 + -6 + b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Solution
b = {-8, -6}