0=6+s+8s^2

Solution for 0=6+s+8s^2 equation:

Simplifying
0 = 6 + s + 8s2

Solving
0 = 6 + s + 8s2

Solving for variable 's'.

Combine like terms: 0 + -6 = -6
-6 + -1s + -8s2 = 6 + s + 8s2 + -6 + -1s + -8s2

Reorder the terms:
-6 + -1s + -8s2 = 6 + -6 + s + -1s + 8s2 + -8s2

Combine like terms: 6 + -6 = 0
-6 + -1s + -8s2 = 0 + s + -1s + 8s2 + -8s2
-6 + -1s + -8s2 = s + -1s + 8s2 + -8s2

Combine like terms: s + -1s = 0
-6 + -1s + -8s2 = 0 + 8s2 + -8s2
-6 + -1s + -8s2 = 8s2 + -8s2

Combine like terms: 8s2 + -8s2 = 0
-6 + -1s + -8s2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + s + 8s2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + s + 8s2)' equal to zero and attempt to solve:

Simplifying
6 + s + 8s2 = 0

Solving
6 + s + 8s2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
0.75 + 0.125s + s2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.125s + -0.75 + s2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.125s + s2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.125s + s2 = 0 + -0.75
0.125s + s2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.125s + s2 = -0.75

The s term is s.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.125s + 0.25 + s2 = -0.75 + 0.25

Reorder the terms:
0.25 + 0.125s + s2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
0.25 + 0.125s + s2 = -0.5

Factor a perfect square on the left side:
(s + 0.5)(s + 0.5) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.