5s(11s+6)=0

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

Simplifying
5s(11s + 6) = 0

Reorder the terms:
5s(6 + 11s) = 0
(6 * 5s + 11s * 5s) = 0
(30s + 55s2) = 0

Solving
30s + 55s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '5s'.
5s(6 + 11s) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
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
Solution
s = {0, -0.5454545455}