s^2+16s+60=0

Solution for s^2+16s+60=0 equation:

Simplifying
s2 + 16s + 60 = 0

Reorder the terms:
60 + 16s + s2 = 0

Solving
60 + 16s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(10 + s)(6 + s) = 0

Subproblem 1
Set the factor '(10 + s)' equal to zero and attempt to solve:

Simplifying
10 + s = 0

Solving
10 + s = 0

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

Add '-10' to each side of the equation.
10 + -10 + s = 0 + -10

Combine like terms: 10 + -10 = 0
0 + s = 0 + -10
s = 0 + -10

Combine like terms: 0 + -10 = -10
s = -10

Simplifying
s = -10
Subproblem 2
Set the factor '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

Solving
6 + s = 0

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

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

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

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

Simplifying
s = -6
Solution
s = {-10, -6}