c^2+14c+48=0

Solution for c^2+14c+48=0 equation:

Simplifying
c2 + 14c + 48 = 0

Reorder the terms:
48 + 14c + c2 = 0

Solving
48 + 14c + c2 = 0

Solving for variable 'c'.

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

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

Simplifying
8 + c = 0

Solving
8 + c = 0

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

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

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

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

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

Simplifying
6 + c = 0

Solving
6 + c = 0

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

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

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

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

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