s^2+5s=-6

Solution for s^2+5s=-6 equation:

Simplifying
s2 + 5s = -6

Reorder the terms:
5s + s2 = -6

Solving
5s + s2 = -6

Solving for variable 's'.

Reorder the terms:
6 + 5s + s2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + 5s + s2 = 0

Factor a trinomial.
(3 + s)(2 + s) = 0

Subproblem 1
Set the factor '(3 + s)' equal to zero and attempt to solve:

Simplifying
3 + s = 0

Solving
3 + s = 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 + s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + s = 0 + -3
s = 0 + -3

Combine like terms: 0 + -3 = -3
s = -3

Simplifying
s = -3
Subproblem 2
Set the factor '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 0

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

Add '-2' to each side of the equation.
2 + -2 + s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + s = 0 + -2
s = 0 + -2

Combine like terms: 0 + -2 = -2
s = -2

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