56s^2+31s+3=0

Solution for 56s^2+31s+3=0 equation:

Simplifying
56s2 + 31s + 3 = 0

Reorder the terms:
3 + 31s + 56s2 = 0

Solving
3 + 31s + 56s2 = 0

Solving for variable 's'.

Factor a trinomial.
(3 + 7s)(1 + 8s) = 0

Subproblem 1
Set the factor '(3 + 7s)' equal to zero and attempt to solve:

Simplifying
3 + 7s = 0

Solving
3 + 7s = 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 + 7s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7s = 0 + -3
7s = 0 + -3

Combine like terms: 0 + -3 = -3
7s = -3

Divide each side by '7'.
s = -0.4285714286

Simplifying
s = -0.4285714286
Subproblem 2
Set the factor '(1 + 8s)' equal to zero and attempt to solve:

Simplifying
1 + 8s = 0

Solving
1 + 8s = 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 + 8s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8s = 0 + -1
8s = 0 + -1

Combine like terms: 0 + -1 = -1
8s = -1

Divide each side by '8'.
s = -0.125

Simplifying
s = -0.125
Solution
s = {-0.4285714286, -0.125}