(s-11)(s+3)=0

Solution for (s-11)(s+3)=0 equation:

Simplifying
(s + -11)(s + 3) = 0

Reorder the terms:
(-11 + s)(s + 3) = 0

Reorder the terms:
(-11 + s)(3 + s) = 0

Multiply (-11 + s) * (3 + s)
(-11(3 + s) + s(3 + s)) = 0
((3 * -11 + s * -11) + s(3 + s)) = 0
((-33 + -11s) + s(3 + s)) = 0
(-33 + -11s + (3 * s + s * s)) = 0
(-33 + -11s + (3s + s2)) = 0

Combine like terms: -11s + 3s = -8s
(-33 + -8s + s2) = 0

Solving
-33 + -8s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-3 + -1s)(11 + -1s) = 0

Subproblem 1
Set the factor '(-3 + -1s)' equal to zero and attempt to solve:

Simplifying
-3 + -1s = 0

Solving
-3 + -1s = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1s = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1s = 0 + 3
-1s = 0 + 3

Combine like terms: 0 + 3 = 3
-1s = 3

Divide each side by '-1'.
s = -3

Simplifying
s = -3
Subproblem 2
Set the factor '(11 + -1s)' equal to zero and attempt to solve:

Simplifying
11 + -1s = 0

Solving
11 + -1s = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1s = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1s = 0 + -11
-1s = 0 + -11

Combine like terms: 0 + -11 = -11
-1s = -11

Divide each side by '-1'.
s = 11

Simplifying
s = 11
Solution
s = {-3, 11}