2s^2+4s+8=0

Solution for 2s^2+4s+8=0 equation:

Simplifying
2s2 + 4s + 8 = 0

Reorder the terms:
8 + 4s + 2s2 = 0

Solving
8 + 4s + 2s2 = 0

Solving for variable 's'.

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

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + 2s + s2)' equal to zero and attempt to solve:

Simplifying
4 + 2s + s2 = 0

Solving
4 + 2s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 2s + -4 + s2 = 0 + -4

Reorder the terms:
4 + -4 + 2s + s2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2s + s2 = 0 + -4
2s + s2 = 0 + -4

Combine like terms: 0 + -4 = -4
2s + s2 = -4

The s term is 2s.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2s + 1 + s2 = -4 + 1

Reorder the terms:
1 + 2s + s2 = -4 + 1

Combine like terms: -4 + 1 = -3
1 + 2s + s2 = -3

Factor a perfect square on the left side:
(s + 1)(s + 1) = -3

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.