8s^2-4s-60=0

Solution for 8s^2-4s-60=0 equation:

Simplifying
8s2 + -4s + -60 = 0

Reorder the terms:
-60 + -4s + 8s2 = 0

Solving
-60 + -4s + 8s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -1s + 2s2) = 0

Factor a trinomial.
4((-5 + -2s)(3 + -1s)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + -2s)' equal to zero and attempt to solve:

Simplifying
-5 + -2s = 0

Solving
-5 + -2s = 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 + -2s = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2s = 0 + 5
-2s = 0 + 5

Combine like terms: 0 + 5 = 5
-2s = 5

Divide each side by '-2'.
s = -2.5

Simplifying
s = -2.5
Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {-2.5, 3}