s^2+6s=-8

Solution for s^2+6s=-8 equation:

Simplifying
s2 + 6s = -8

Reorder the terms:
6s + s2 = -8

Solving
6s + s2 = -8

Solving for variable 's'.

Reorder the terms:
8 + 6s + s2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 6s + s2 = 0

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

Subproblem 1
Set the factor '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

Add '-4' to each side of the equation.
4 + -4 + s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + s = 0 + -4
s = 0 + -4

Combine like terms: 0 + -4 = -4
s = -4

Simplifying
s = -4
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 = {-4, -2}