(s-8)(s+9)=0

Solution for (s-8)(s+9)=0 equation:

Simplifying
(s + -8)(s + 9) = 0

Reorder the terms:
(-8 + s)(s + 9) = 0

Reorder the terms:
(-8 + s)(9 + s) = 0

Multiply (-8 + s) * (9 + s)
(-8(9 + s) + s(9 + s)) = 0
((9 * -8 + s * -8) + s(9 + s)) = 0
((-72 + -8s) + s(9 + s)) = 0
(-72 + -8s + (9 * s + s * s)) = 0
(-72 + -8s + (9s + s2)) = 0

Combine like terms: -8s + 9s = 1s
(-72 + 1s + s2) = 0

Solving
-72 + 1s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-9 + -1s)(8 + -1s) = 0

Subproblem 1
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
Subproblem 2
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
Solution
s = {-9, 8}