s^2+7s-60=0

Solution for s^2+7s-60=0 equation:

Simplifying
s2 + 7s + -60 = 0

Reorder the terms:
-60 + 7s + s2 = 0

Solving
-60 + 7s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-12 + -1s)(5 + -1s) = 0

Subproblem 1
Set the factor '(-12 + -1s)' equal to zero and attempt to solve:

Simplifying
-12 + -1s = 0

Solving
-12 + -1s = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1s = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1s = 0 + 12
-1s = 0 + 12

Combine like terms: 0 + 12 = 12
-1s = 12

Divide each side by '-1'.
s = -12

Simplifying
s = -12
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-12, 5}