(11s+9)(2s-6)=0

Solution for (11s+9)(2s-6)=0 equation:

Simplifying
(11s + 9)(2s + -6) = 0

Reorder the terms:
(9 + 11s)(2s + -6) = 0

Reorder the terms:
(9 + 11s)(-6 + 2s) = 0

Multiply (9 + 11s) * (-6 + 2s)
(9(-6 + 2s) + 11s * (-6 + 2s)) = 0
((-6 * 9 + 2s * 9) + 11s * (-6 + 2s)) = 0
((-54 + 18s) + 11s * (-6 + 2s)) = 0
(-54 + 18s + (-6 * 11s + 2s * 11s)) = 0
(-54 + 18s + (-66s + 22s2)) = 0

Combine like terms: 18s + -66s = -48s
(-54 + -48s + 22s2) = 0

Solving
-54 + -48s + 22s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-27 + -24s + 11s2) = 0

Factor a trinomial.
2((-9 + -11s)(3 + -1s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-9 + -11s)' equal to zero and attempt to solve:

Simplifying
-9 + -11s = 0

Solving
-9 + -11s = 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 + -11s = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -11s = 0 + 9
-11s = 0 + 9

Combine like terms: 0 + 9 = 9
-11s = 9

Divide each side by '-11'.
s = -0.8181818182

Simplifying
s = -0.8181818182
Subproblem 2
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
Solution
s = {-0.8181818182, 3}