2s^2+2s+9=0

Solution for 2s^2+2s+9=0 equation:

Simplifying
2s2 + 2s + 9 = 0

Reorder the terms:
9 + 2s + 2s2 = 0

Solving
9 + 2s + 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'.
4.5 + s + s2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + s + -4.5 + s2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + s + s2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + s + s2 = 0 + -4.5
s + s2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
s + s2 = -4.5

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.
 + 0.25 + s2 = -4.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + s2 = -4.5 + 0.25

Combine like terms: -4.5 + 0.25 = -4.25
1.25 + s2 = -4.25

Factor a perfect square on the left side:
(s + 0.5)(s + 0.5) = -4.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.