3s^2+10s+8=0

Solution for 3s^2+10s+8=0 equation:

Simplifying
3s2 + 10s + 8 = 0

Reorder the terms:
8 + 10s + 3s2 = 0

Solving
8 + 10s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(2 + s)(4 + 3s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + 3s)' equal to zero and attempt to solve:

Simplifying
4 + 3s = 0

Solving
4 + 3s = 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 + 3s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3s = 0 + -4
3s = 0 + -4

Combine like terms: 0 + -4 = -4
3s = -4

Divide each side by '3'.
s = -1.333333333

Simplifying
s = -1.333333333
Solution
s = {-2, -1.333333333}