k^2+19k+60=0

Solution for k^2+19k+60=0 equation:

Simplifying
k2 + 19k + 60 = 0

Reorder the terms:
60 + 19k + k2 = 0

Solving
60 + 19k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(15 + k)(4 + 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 '(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 = {-15, -4}