5y^2=-y-4

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

Simplifying
5y2 = -1y + -4

Reorder the terms:
5y2 = -4 + -1y

Solving
5y2 = -4 + -1y

Solving for variable 'y'.

Reorder the terms:
4 + y + 5y2 = -4 + -1y + 4 + y

Reorder the terms:
4 + y + 5y2 = -4 + 4 + -1y + y

Combine like terms: -4 + 4 = 0
4 + y + 5y2 = 0 + -1y + y
4 + y + 5y2 = -1y + y

Combine like terms: -1y + y = 0
4 + y + 5y2 = 0

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

Divide each side by '5'.
0.8 + 0.2y + y2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + 0.2y + -0.8 + y2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + 0.2y + y2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.2y + y2 = 0 + -0.8
0.2y + y2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
0.2y + y2 = -0.8

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.
0.2y + 0.25 + y2 = -0.8 + 0.25

Reorder the terms:
0.25 + 0.2y + y2 = -0.8 + 0.25

Combine like terms: -0.8 + 0.25 = -0.55
0.25 + 0.2y + y2 = -0.55

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -0.55

Can't calculate square root of the right side.

The solution to this equation could not be determined.