2y^2+y+11=0

Solution for 2y^2+y+11=0 equation:

Simplifying
2y2 + y + 11 = 0

Reorder the terms:
11 + y + 2y2 = 0

Solving
11 + y + 2y2 = 0

Solving for variable 'y'.

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

Divide each side by '2'.
5.5 + 0.5y + y2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + 0.5y + -5.5 + y2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + 0.5y + y2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 0.5y + y2 = 0 + -5.5
0.5y + y2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
0.5y + y2 = -5.5

The y term is y.  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.
0.5y + 0.25 + y2 = -5.5 + 0.25

Reorder the terms:
0.25 + 0.5y + y2 = -5.5 + 0.25

Combine like terms: -5.5 + 0.25 = -5.25
0.25 + 0.5y + y2 = -5.25

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -5.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.