2y^2+2y+5+2y+4=

Solution for 2y^2+2y+5+2y+4= equation:

Simplifying
2y2 + 2y + 5 + 2y + 4 = 0

Reorder the terms:
5 + 4 + 2y + 2y + 2y2 = 0

Combine like terms: 5 + 4 = 9
9 + 2y + 2y + 2y2 = 0

Combine like terms: 2y + 2y = 4y
9 + 4y + 2y2 = 0

Solving
9 + 4y + 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'.
4.5 + 2y + y2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + 2y + -4.5 + y2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + 2y + y2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 2y + y2 = 0 + -4.5
2y + y2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
2y + y2 = -4.5

The y term is 2y.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2y + 1 + y2 = -4.5 + 1

Reorder the terms:
1 + 2y + y2 = -4.5 + 1

Combine like terms: -4.5 + 1 = -3.5
1 + 2y + y2 = -3.5

Factor a perfect square on the left side:
(y + 1)(y + 1) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.