(s+24)(s-27)=0

Solution for (s+24)(s-27)=0 equation:

Simplifying
(s + 24)(s + -27) = 0

Reorder the terms:
(24 + s)(s + -27) = 0

Reorder the terms:
(24 + s)(-27 + s) = 0

Multiply (24 + s) * (-27 + s)
(24(-27 + s) + s(-27 + s)) = 0
((-27 * 24 + s * 24) + s(-27 + s)) = 0
((-648 + 24s) + s(-27 + s)) = 0
(-648 + 24s + (-27 * s + s * s)) = 0
(-648 + 24s + (-27s + s2)) = 0

Combine like terms: 24s + -27s = -3s
(-648 + -3s + s2) = 0

Solving
-648 + -3s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-24 + -1s)(27 + -1s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(27 + -1s)' equal to zero and attempt to solve:

Simplifying
27 + -1s = 0

Solving
27 + -1s = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1s = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1s = 0 + -27
-1s = 0 + -27

Combine like terms: 0 + -27 = -27
-1s = -27

Divide each side by '-1'.
s = 27

Simplifying
s = 27
Solution
s = {-24, 27}