n^2+16n=-64

Solution for n^2+16n=-64 equation:

Simplifying
n2 + 16n = -64

Reorder the terms:
16n + n2 = -64

Solving
16n + n2 = -64

Solving for variable 'n'.

Reorder the terms:
64 + 16n + n2 = -64 + 64

Combine like terms: -64 + 64 = 0
64 + 16n + n2 = 0

Factor a trinomial.
(8 + n)(8 + n) = 0

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

Simplifying
8 + n = 0

Solving
8 + n = 0

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

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

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

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

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

Simplifying
8 + n = 0

Solving
8 + n = 0

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

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

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

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

Simplifying
n = -8
Solution
n = {-8, -8}