15s^2-33s-36=0

Solution for 15s^2-33s-36=0 equation:

Simplifying
15s2 + -33s + -36 = 0

Reorder the terms:
-36 + -33s + 15s2 = 0

Solving
-36 + -33s + 15s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -11s + 5s2) = 0

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

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

Simplifying
-4 + -5s = 0

Solving
-4 + -5s = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5s = 0 + 4

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

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

Divide each side by '-5'.
s = -0.8

Simplifying
s = -0.8
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 = {-0.8, 3}