n^2+16n=-28

Solution for n^2+16n=-28 equation:

Simplifying
n2 + 16n = -28

Reorder the terms:
16n + n2 = -28

Solving
16n + n2 = -28

Solving for variable 'n'.

Reorder the terms:
28 + 16n + n2 = -28 + 28

Combine like terms: -28 + 28 = 0
28 + 16n + n2 = 0

Factor a trinomial.
(14 + n)(2 + n) = 0

Subproblem 1
Set the factor '(14 + n)' equal to zero and attempt to solve:

Simplifying
14 + n = 0

Solving
14 + n = 0

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

Add '-14' to each side of the equation.
14 + -14 + n = 0 + -14

Combine like terms: 14 + -14 = 0
0 + n = 0 + -14
n = 0 + -14

Combine like terms: 0 + -14 = -14
n = -14

Simplifying
n = -14
Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + n = 0 + -2
n = 0 + -2

Combine like terms: 0 + -2 = -2
n = -2

Simplifying
n = -2
Solution
n = {-14, -2}