2y^2+16y+33=0

Solution for 2y^2+16y+33=0 equation:

Simplifying
2y2 + 16y + 33 = 0

Reorder the terms:
33 + 16y + 2y2 = 0

Solving
33 + 16y + 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'.
16.5 + 8y + y2 = 0

Move the constant term to the right:

Add '-16.5' to each side of the equation.
16.5 + 8y + -16.5 + y2 = 0 + -16.5

Reorder the terms:
16.5 + -16.5 + 8y + y2 = 0 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + 8y + y2 = 0 + -16.5
8y + y2 = 0 + -16.5

Combine like terms: 0 + -16.5 = -16.5
8y + y2 = -16.5

The y term is 8y.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8y + 16 + y2 = -16.5 + 16

Reorder the terms:
16 + 8y + y2 = -16.5 + 16

Combine like terms: -16.5 + 16 = -0.5
16 + 8y + y2 = -0.5

Factor a perfect square on the left side:
(y + 4)(y + 4) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.