(s^2)+14s+48=0

Solution for (s^2)+14s+48=0 equation:

Simplifying
(s2) + 14s + 48 = 0
s2 + 14s + 48 = 0

Reorder the terms:
48 + 14s + s2 = 0

Solving
48 + 14s + s2 = 0

Solving for variable 's'.

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

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

Simplifying
8 + s = 0

Solving
8 + s = 0

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

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

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

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

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

Simplifying
6 + s = 0

Solving
6 + s = 0

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

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

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

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

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