(s-6)(s+5)=0

Solution for (s-6)(s+5)=0 equation:

Simplifying
(s + -6)(s + 5) = 0

Reorder the terms:
(-6 + s)(s + 5) = 0

Reorder the terms:
(-6 + s)(5 + s) = 0

Multiply (-6 + s) * (5 + s)
(-6(5 + s) + s(5 + s)) = 0
((5 * -6 + s * -6) + s(5 + s)) = 0
((-30 + -6s) + s(5 + s)) = 0
(-30 + -6s + (5 * s + s * s)) = 0
(-30 + -6s + (5s + s2)) = 0

Combine like terms: -6s + 5s = -1s
(-30 + -1s + s2) = 0

Solving
-30 + -1s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-5 + -1s)(6 + -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 '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {-5, 6}