(s+5)(s-9)=0

Solution for (s+5)(s-9)=0 equation:

Simplifying
(s + 5)(s + -9) = 0

Reorder the terms:
(5 + s)(s + -9) = 0

Reorder the terms:
(5 + s)(-9 + s) = 0

Multiply (5 + s) * (-9 + s)
(5(-9 + s) + s(-9 + s)) = 0
((-9 * 5 + s * 5) + s(-9 + s)) = 0
((-45 + 5s) + s(-9 + s)) = 0
(-45 + 5s + (-9 * s + s * s)) = 0
(-45 + 5s + (-9s + s2)) = 0

Combine like terms: 5s + -9s = -4s
(-45 + -4s + s2) = 0

Solving
-45 + -4s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-5 + -1s)(9 + -1s) = 0

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

Simplifying
-5 + -1s = 0

Solving
-5 + -1s = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1s = 0 + 5

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

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

Divide each side by '-1'.
s = -5

Simplifying
s = -5
Subproblem 2
Set the factor '(9 + -1s)' equal to zero and attempt to solve:

Simplifying
9 + -1s = 0

Solving
9 + -1s = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1s = 0 + -9
-1s = 0 + -9

Combine like terms: 0 + -9 = -9
-1s = -9

Divide each side by '-1'.
s = 9

Simplifying
s = 9
Solution
s = {-5, 9}