k^2+8k+36=24

Solution for k^2+8k+36=24 equation:

Simplifying
k2 + 8k + 36 = 24

Reorder the terms:
36 + 8k + k2 = 24

Solving
36 + 8k + k2 = 24

Solving for variable 'k'.

Reorder the terms:
36 + -24 + 8k + k2 = 24 + -24

Combine like terms: 36 + -24 = 12
12 + 8k + k2 = 24 + -24

Combine like terms: 24 + -24 = 0
12 + 8k + k2 = 0

Factor a trinomial.
(6 + k)(2 + 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 '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

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

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

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

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

Simplifying
k = -2
Solution
k = {-6, -2}