g^2+14g+48=0

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

Simplifying
g2 + 14g + 48 = 0

Reorder the terms:
48 + 14g + g2 = 0

Solving
48 + 14g + g2 = 0

Solving for variable 'g'.

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

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

Simplifying
8 + g = 0

Solving
8 + g = 0

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

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

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

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

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

Simplifying
6 + g = 0

Solving
6 + g = 0

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

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

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

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

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