k^2+16k+60=5

Solution for k^2+16k+60=5 equation:

Simplifying
k2 + 16k + 60 = 5

Reorder the terms:
60 + 16k + k2 = 5

Solving
60 + 16k + k2 = 5

Solving for variable 'k'.

Reorder the terms:
60 + -5 + 16k + k2 = 5 + -5

Combine like terms: 60 + -5 = 55
55 + 16k + k2 = 5 + -5

Combine like terms: 5 + -5 = 0
55 + 16k + k2 = 0

Factor a trinomial.
(11 + k)(5 + k) = 0

Subproblem 1
Set the factor '(11 + k)' equal to zero and attempt to solve:

Simplifying
11 + k = 0

Solving
11 + k = 0

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

Add '-11' to each side of the equation.
11 + -11 + k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + k = 0 + -11
k = 0 + -11

Combine like terms: 0 + -11 = -11
k = -11

Simplifying
k = -11
Subproblem 2
Set the factor '(5 + k)' equal to zero and attempt to solve:

Simplifying
5 + k = 0

Solving
5 + k = 0

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

Add '-5' to each side of the equation.
5 + -5 + k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + k = 0 + -5
k = 0 + -5

Combine like terms: 0 + -5 = -5
k = -5

Simplifying
k = -5
Solution
k = {-11, -5}