2y^2-6y+5=0

Solution for 2y^2-6y+5=0 equation:

Simplifying
2y2 + -6y + 5 = 0

Reorder the terms:
5 + -6y + 2y2 = 0

Solving
5 + -6y + 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'.
2.5 + -3y + y2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -3y + -2.5 + y2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -3y + y2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -3y + y2 = 0 + -2.5
-3y + y2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-3y + y2 = -2.5

The y term is -3y.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3y + 2.25 + y2 = -2.5 + 2.25

Reorder the terms:
2.25 + -3y + y2 = -2.5 + 2.25

Combine like terms: -2.5 + 2.25 = -0.25
2.25 + -3y + y2 = -0.25

Factor a perfect square on the left side:
(y + -1.5)(y + -1.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.