(s-2)(s+11)=0

Solution for (s-2)(s+11)=0 equation:

Simplifying
(s + -2)(s + 11) = 0

Reorder the terms:
(-2 + s)(s + 11) = 0

Reorder the terms:
(-2 + s)(11 + s) = 0

Multiply (-2 + s) * (11 + s)
(-2(11 + s) + s(11 + s)) = 0
((11 * -2 + s * -2) + s(11 + s)) = 0
((-22 + -2s) + s(11 + s)) = 0
(-22 + -2s + (11 * s + s * s)) = 0
(-22 + -2s + (11s + s2)) = 0

Combine like terms: -2s + 11s = 9s
(-22 + 9s + s2) = 0

Solving
-22 + 9s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-11 + -1s)(2 + -1s) = 0

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

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {-11, 2}