k^2+16k=-15

Solution for k^2+16k=-15 equation:

Simplifying
k2 + 16k = -15

Reorder the terms:
16k + k2 = -15

Solving
16k + k2 = -15

Solving for variable 'k'.

Reorder the terms:
15 + 16k + k2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 16k + k2 = 0

Factor a trinomial.
(15 + k)(1 + k) = 0

Subproblem 1
Set the factor '(15 + k)' equal to zero and attempt to solve:

Simplifying
15 + k = 0

Solving
15 + k = 0

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

Add '-15' to each side of the equation.
15 + -15 + k = 0 + -15

Combine like terms: 15 + -15 = 0
0 + k = 0 + -15
k = 0 + -15

Combine like terms: 0 + -15 = -15
k = -15

Simplifying
k = -15
Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

Solving
1 + k = 0

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

Add '-1' to each side of the equation.
1 + -1 + k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + k = 0 + -1
k = 0 + -1

Combine like terms: 0 + -1 = -1
k = -1

Simplifying
k = -1
Solution
k = {-15, -1}