s^2+30s+11s=0

Solution for s^2+30s+11s=0 equation:

Simplifying
s2 + 30s + 11s = 0

Reorder the terms:
30s + 11s + s2 = 0

Combine like terms: 30s + 11s = 41s
41s + s2 = 0

Solving
41s + s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), 's'.
s(41 + s) = 0

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 '(41 + s)' equal to zero and attempt to solve:

Simplifying
41 + s = 0

Solving
41 + s = 0

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

Add '-41' to each side of the equation.
41 + -41 + s = 0 + -41

Combine like terms: 41 + -41 = 0
0 + s = 0 + -41
s = 0 + -41

Combine like terms: 0 + -41 = -41
s = -41

Simplifying
s = -41
Solution
s = {0, -41}