5y^2=5y-8

Solution for 5y^2=5y-8 equation:

Simplifying
5y2 = 5y + -8

Reorder the terms:
5y2 = -8 + 5y

Solving
5y2 = -8 + 5y

Solving for variable 'y'.

Reorder the terms:
8 + -5y + 5y2 = -8 + 5y + 8 + -5y

Reorder the terms:
8 + -5y + 5y2 = -8 + 8 + 5y + -5y

Combine like terms: -8 + 8 = 0
8 + -5y + 5y2 = 0 + 5y + -5y
8 + -5y + 5y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
8 + -5y + 5y2 = 0

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

Divide each side by '5'.
1.6 + -1y + y2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -1y + -1.6 + y2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -1y + y2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -1y + y2 = 0 + -1.6
-1y + y2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-1y + y2 = -1.6

The y term is -1y.  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.
-1y + 0.25 + y2 = -1.6 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -1.6 + 0.25

Combine like terms: -1.6 + 0.25 = -1.35
0.25 + -1y + y2 = -1.35

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -1.35

Can't calculate square root of the right side.

The solution to this equation could not be determined.