2s^2+8s+6=

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

Simplifying
2s2 + 8s + 6 = 0

Reorder the terms:
6 + 8s + 2s2 = 0

Solving
6 + 8s + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 4s + s2) = 0

Factor a trinomial.
2((3 + s)(1 + s)) = 0

Ignore the factor 2.
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 '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 0

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

Add '-1' to each side of the equation.
1 + -1 + s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + s = 0 + -1
s = 0 + -1

Combine like terms: 0 + -1 = -1
s = -1

Simplifying
s = -1
Solution
s = {-3, -1}