A^2+14A=-48

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

Simplifying
A2 + 14A = -48

Reorder the terms:
14A + A2 = -48

Solving
14A + A2 = -48

Solving for variable 'A'.

Reorder the terms:
48 + 14A + A2 = -48 + 48

Combine like terms: -48 + 48 = 0
48 + 14A + A2 = 0

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

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

Simplifying
8 + A = 0

Solving
8 + A = 0

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

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

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

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

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

Simplifying
6 + A = 0

Solving
6 + A = 0

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

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

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

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

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