2s^2+5s+8=0

Solution for 2s^2+5s+8=0 equation:

Simplifying
2s2 + 5s + 8 = 0

Reorder the terms:
8 + 5s + 2s2 = 0

Solving
8 + 5s + 2s2 = 0

Solving for variable 's'.

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

Divide each side by '2'.
4 + 2.5s + s2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 2.5s + -4 + s2 = 0 + -4

Reorder the terms:
4 + -4 + 2.5s + s2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2.5s + s2 = 0 + -4
2.5s + s2 = 0 + -4

Combine like terms: 0 + -4 = -4
2.5s + s2 = -4

The s term is 2.5s.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5s + 1.5625 + s2 = -4 + 1.5625

Reorder the terms:
1.5625 + 2.5s + s2 = -4 + 1.5625

Combine like terms: -4 + 1.5625 = -2.4375
1.5625 + 2.5s + s2 = -2.4375

Factor a perfect square on the left side:
(s + 1.25)(s + 1.25) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.