(s+20)(s-24)=0

Solution for (s+20)(s-24)=0 equation:

Simplifying
(s + 20)(s + -24) = 0

Reorder the terms:
(20 + s)(s + -24) = 0

Reorder the terms:
(20 + s)(-24 + s) = 0

Multiply (20 + s) * (-24 + s)
(20(-24 + s) + s(-24 + s)) = 0
((-24 * 20 + s * 20) + s(-24 + s)) = 0
((-480 + 20s) + s(-24 + s)) = 0
(-480 + 20s + (-24 * s + s * s)) = 0
(-480 + 20s + (-24s + s2)) = 0

Combine like terms: 20s + -24s = -4s
(-480 + -4s + s2) = 0

Solving
-480 + -4s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-20 + -1s)(24 + -1s) = 0

Subproblem 1
Set the factor '(-20 + -1s)' equal to zero and attempt to solve:

Simplifying
-20 + -1s = 0

Solving
-20 + -1s = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1s = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1s = 0 + 20
-1s = 0 + 20

Combine like terms: 0 + 20 = 20
-1s = 20

Divide each side by '-1'.
s = -20

Simplifying
s = -20
Subproblem 2
Set the factor '(24 + -1s)' equal to zero and attempt to solve:

Simplifying
24 + -1s = 0

Solving
24 + -1s = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1s = 0 + -24

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

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

Divide each side by '-1'.
s = 24

Simplifying
s = 24
Solution
s = {-20, 24}