0=2y^2+2y+5

Solution for 0=2y^2+2y+5 equation:

Simplifying
0 = 2y2 + 2y + 5

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

Solving
0 = 5 + 2y + 2y2

Solving for variable 'y'.

Combine like terms: 0 + -5 = -5
-5 + -2y + -2y2 = 5 + 2y + 2y2 + -5 + -2y + -2y2

Reorder the terms:
-5 + -2y + -2y2 = 5 + -5 + 2y + -2y + 2y2 + -2y2

Combine like terms: 5 + -5 = 0
-5 + -2y + -2y2 = 0 + 2y + -2y + 2y2 + -2y2
-5 + -2y + -2y2 = 2y + -2y + 2y2 + -2y2

Combine like terms: 2y + -2y = 0
-5 + -2y + -2y2 = 0 + 2y2 + -2y2
-5 + -2y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-5 + -2y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 2y + 2y2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(5 + 2y + 2y2)' equal to zero and attempt to solve:

Simplifying
5 + 2y + 2y2 = 0

Solving
5 + 2y + 2y2 = 0

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

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

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + y + -2.5 + y2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + y + y2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + y + y2 = 0 + -2.5
y + y2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
y + y2 = -2.5

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.
 + 0.25 + y2 = -2.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + y2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
1.25 + y2 = -2.25

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.