2y^2+10y+27=0

Solution for 2y^2+10y+27=0 equation:

Simplifying
2y2 + 10y + 27 = 0

Reorder the terms:
27 + 10y + 2y2 = 0

Solving
27 + 10y + 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'.
13.5 + 5y + y2 = 0

Move the constant term to the right:

Add '-13.5' to each side of the equation.
13.5 + 5y + -13.5 + y2 = 0 + -13.5

Reorder the terms:
13.5 + -13.5 + 5y + y2 = 0 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + 5y + y2 = 0 + -13.5
5y + y2 = 0 + -13.5

Combine like terms: 0 + -13.5 = -13.5
5y + y2 = -13.5

The y term is 5y.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5y + 6.25 + y2 = -13.5 + 6.25

Reorder the terms:
6.25 + 5y + y2 = -13.5 + 6.25

Combine like terms: -13.5 + 6.25 = -7.25
6.25 + 5y + y2 = -7.25

Factor a perfect square on the left side:
(y + 2.5)(y + 2.5) = -7.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.