(11s+6)(5s-15)=0

Solution for (11s+6)(5s-15)=0 equation:

Simplifying
(11s + 6)(5s + -15) = 0

Reorder the terms:
(6 + 11s)(5s + -15) = 0

Reorder the terms:
(6 + 11s)(-15 + 5s) = 0

Multiply (6 + 11s) * (-15 + 5s)
(6(-15 + 5s) + 11s * (-15 + 5s)) = 0
((-15 * 6 + 5s * 6) + 11s * (-15 + 5s)) = 0
((-90 + 30s) + 11s * (-15 + 5s)) = 0
(-90 + 30s + (-15 * 11s + 5s * 11s)) = 0
(-90 + 30s + (-165s + 55s2)) = 0

Combine like terms: 30s + -165s = -135s
(-90 + -135s + 55s2) = 0

Solving
-90 + -135s + 55s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -27s + 11s2) = 0

Factor a trinomial.
5((-6 + -11s)(3 + -1s)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -11s)' equal to zero and attempt to solve:

Simplifying
-6 + -11s = 0

Solving
-6 + -11s = 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 + -11s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -11s = 0 + 6
-11s = 0 + 6

Combine like terms: 0 + 6 = 6
-11s = 6

Divide each side by '-11'.
s = -0.5454545455

Simplifying
s = -0.5454545455
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 = {-0.5454545455, 3}