60s^2+33s-9=

Solution for 60s^2+33s-9= equation:

Simplifying
60s2 + 33s + -9 = 0

Reorder the terms:
-9 + 33s + 60s2 = 0

Solving
-9 + 33s + 60s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + 11s + 20s2) = 0

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

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

Simplifying
-3 + -4s = 0

Solving
-3 + -4s = 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 + -4s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4s = 0 + 3
-4s = 0 + 3

Combine like terms: 0 + 3 = 3
-4s = 3

Divide each side by '-4'.
s = -0.75

Simplifying
s = -0.75
Subproblem 2
Set the factor '(1 + -5s)' equal to zero and attempt to solve:

Simplifying
1 + -5s = 0

Solving
1 + -5s = 0

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

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

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

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

Divide each side by '-5'.
s = 0.2

Simplifying
s = 0.2
Solution
s = {-0.75, 0.2}