s^2-14s-120=0

Solution for s^2-14s-120=0 equation:

Simplifying
s2 + -14s + -120 = 0

Reorder the terms:
-120 + -14s + s2 = 0

Solving
-120 + -14s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-6 + -1s)(20 + -1s) = 0

Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve:

Simplifying
-6 + -1s = 0

Solving
-6 + -1s = 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 + -1s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1s = 0 + 6
-1s = 0 + 6

Combine like terms: 0 + 6 = 6
-1s = 6

Divide each side by '-1'.
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(20 + -1s)' equal to zero and attempt to solve:

Simplifying
20 + -1s = 0

Solving
20 + -1s = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1s = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1s = 0 + -20
-1s = 0 + -20

Combine like terms: 0 + -20 = -20
-1s = -20

Divide each side by '-1'.
s = 20

Simplifying
s = 20
Solution
s = {-6, 20}