2k^2+22k=-60

Solution for 2k^2+22k=-60 equation:

Simplifying
2k2 + 22k = -60

Reorder the terms:
22k + 2k2 = -60

Solving
22k + 2k2 = -60

Solving for variable 'k'.

Reorder the terms:
60 + 22k + 2k2 = -60 + 60

Combine like terms: -60 + 60 = 0
60 + 22k + 2k2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + 11k + k2) = 0

Factor a trinomial.
2((6 + k)(5 + k)) = 0

Ignore the factor 2.
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 '(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 = {-6, -5}