2s^2+11s+216=0

Solution for 2s^2+11s+216=0 equation:

Simplifying
2s2 + 11s + 216 = 0

Reorder the terms:
216 + 11s + 2s2 = 0

Solving
216 + 11s + 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'.
108 + 5.5s + s2 = 0

Move the constant term to the right:

Add '-108' to each side of the equation.
108 + 5.5s + -108 + s2 = 0 + -108

Reorder the terms:
108 + -108 + 5.5s + s2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + 5.5s + s2 = 0 + -108
5.5s + s2 = 0 + -108

Combine like terms: 0 + -108 = -108
5.5s + s2 = -108

The s term is 5.5s.  Take half its coefficient (2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
5.5s + 7.5625 + s2 = -108 + 7.5625

Reorder the terms:
7.5625 + 5.5s + s2 = -108 + 7.5625

Combine like terms: -108 + 7.5625 = -100.4375
7.5625 + 5.5s + s2 = -100.4375

Factor a perfect square on the left side:
(s + 2.75)(s + 2.75) = -100.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.