5y^2+9=5y

Solution for 5y^2+9=5y equation:

Simplifying
5y2 + 9 = 5y

Reorder the terms:
9 + 5y2 = 5y

Solving
9 + 5y2 = 5y

Solving for variable 'y'.

Reorder the terms:
9 + -5y + 5y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -5y + 5y2 = 0

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

Divide each side by '5'.
1.8 + -1y + y2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + -1y + -1.8 + y2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + -1y + y2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -1y + y2 = 0 + -1.8
-1y + y2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
-1y + y2 = -1.8

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 = -1.8 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -1.8 + 0.25

Combine like terms: -1.8 + 0.25 = -1.55
0.25 + -1y + y2 = -1.55

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -1.55

Can't calculate square root of the right side.

The solution to this equation could not be determined.