60s^2+39s-45=0

Solution for 60s^2+39s-45=0 equation:

Simplifying
60s2 + 39s + -45 = 0

Reorder the terms:
-45 + 39s + 60s2 = 0

Solving
-45 + 39s + 60s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + 13s + 20s2) = 0

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

Ignore the factor 3.
Subproblem 1
Set the factor '(-5 + -4s)' equal to zero and attempt to solve:

Simplifying
-5 + -4s = 0

Solving
-5 + -4s = 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 + -4s = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4s = 0 + 5
-4s = 0 + 5

Combine like terms: 0 + 5 = 5
-4s = 5

Divide each side by '-4'.
s = -1.25

Simplifying
s = -1.25
Subproblem 2
Set the factor '(3 + -5s)' equal to zero and attempt to solve:

Simplifying
3 + -5s = 0

Solving
3 + -5s = 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 + -5s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5s = 0 + -3
-5s = 0 + -3

Combine like terms: 0 + -3 = -3
-5s = -3

Divide each side by '-5'.
s = 0.6

Simplifying
s = 0.6
Solution
s = {-1.25, 0.6}