2s^2+s+12=0

Solution for 2s^2+s+12=0 equation:

Simplifying
2s2 + s + 12 = 0

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

Solving
12 + s + 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'.
6 + 0.5s + s2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 0.5s + -6 + s2 = 0 + -6

Reorder the terms:
6 + -6 + 0.5s + s2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 0.5s + s2 = 0 + -6
0.5s + s2 = 0 + -6

Combine like terms: 0 + -6 = -6
0.5s + s2 = -6

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.
0.5s + 0.25 + s2 = -6 + 0.25

Reorder the terms:
0.25 + 0.5s + s2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + 0.5s + s2 = -5.75

Factor a perfect square on the left side:
(s + 0.5)(s + 0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.