24=s(s-5)

Solution for 24=s(s-5) equation:

Simplifying
24 = s(s + -5)

Reorder the terms:
24 = s(-5 + s)
24 = (-5 * s + s * s)
24 = (-5s + s2)

Solving
24 = -5s + s2

Solving for variable 's'.

Reorder the terms:
24 + 5s + -1s2 = -5s + 5s + s2 + -1s2

Combine like terms: -5s + 5s = 0
24 + 5s + -1s2 = 0 + s2 + -1s2
24 + 5s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
24 + 5s + -1s2 = 0

Factor a trinomial.
(8 + -1s)(3 + s) = 0

Subproblem 1
Set the factor '(8 + -1s)' equal to zero and attempt to solve:

Simplifying
8 + -1s = 0

Solving
8 + -1s = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1s = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1s = 0 + -8
-1s = 0 + -8

Combine like terms: 0 + -8 = -8
-1s = -8

Divide each side by '-1'.
s = 8

Simplifying
s = 8
Subproblem 2
Set the factor '(3 + s)' equal to zero and attempt to solve:

Simplifying
3 + s = 0

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

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

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

Simplifying
s = -3
Solution
s = {8, -3}