s^2+11s=-30

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

Simplifying
s2 + 11s = -30

Reorder the terms:
11s + s2 = -30

Solving
11s + s2 = -30

Solving for variable 's'.

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

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

Factor a trinomial.
(6 + s)(5 + s) = 0

Subproblem 1
Set the factor '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

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

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

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

Simplifying
s = -6
Subproblem 2
Set the factor '(5 + s)' equal to zero and attempt to solve:

Simplifying
5 + s = 0

Solving
5 + s = 0

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

Add '-5' to each side of the equation.
5 + -5 + s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + s = 0 + -5
s = 0 + -5

Combine like terms: 0 + -5 = -5
s = -5

Simplifying
s = -5
Solution
s = {-6, -5}