5s^2-26s-24=0

Solution for 5s^2-26s-24=0 equation:

Simplifying
5s2 + -26s + -24 = 0

Reorder the terms:
-24 + -26s + 5s2 = 0

Solving
-24 + -26s + 5s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-4 + -5s)(6 + -1s) = 0

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 '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {-0.8, 6}