18s^2-48s-66=0

Solution for 18s^2-48s-66=0 equation:

Simplifying
18s2 + -48s + -66 = 0

Reorder the terms:
-66 + -48s + 18s2 = 0

Solving
-66 + -48s + 18s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-11 + -8s + 3s2) = 0

Factor a trinomial.
6((-1 + -1s)(11 + -3s)) = 0

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

Simplifying
-1 + -1s = 0

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

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

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

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

Simplifying
s = -1
Subproblem 2
Set the factor '(11 + -3s)' equal to zero and attempt to solve:

Simplifying
11 + -3s = 0

Solving
11 + -3s = 0

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

Add '-11' to each side of the equation.
11 + -11 + -3s = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3s = 0 + -11
-3s = 0 + -11

Combine like terms: 0 + -11 = -11
-3s = -11

Divide each side by '-3'.
s = 3.666666667

Simplifying
s = 3.666666667
Solution
s = {-1, 3.666666667}