k^2+10k+16=-8

Solution for k^2+10k+16=-8 equation:

Simplifying
k2 + 10k + 16 = -8

Reorder the terms:
16 + 10k + k2 = -8

Solving
16 + 10k + k2 = -8

Solving for variable 'k'.

Reorder the terms:
16 + 8 + 10k + k2 = -8 + 8

Combine like terms: 16 + 8 = 24
24 + 10k + k2 = -8 + 8

Combine like terms: -8 + 8 = 0
24 + 10k + k2 = 0

Factor a trinomial.
(6 + k)(4 + k) = 0

Subproblem 1
Set the factor '(6 + k)' equal to zero and attempt to solve:

Simplifying
6 + k = 0

Solving
6 + k = 0

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

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

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

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

Simplifying
k = -6
Subproblem 2
Set the factor '(4 + k)' equal to zero and attempt to solve:

Simplifying
4 + k = 0

Solving
4 + k = 0

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

Add '-4' to each side of the equation.
4 + -4 + k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + k = 0 + -4
k = 0 + -4

Combine like terms: 0 + -4 = -4
k = -4

Simplifying
k = -4
Solution
k = {-6, -4}