2y^2-5y+6=0

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

Simplifying
2y2 + -5y + 6 = 0

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

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

Move the constant term to the right:

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

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

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

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

The y term is -2.5y.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5y + 1.5625 + y2 = -3 + 1.5625

Reorder the terms:
1.5625 + -2.5y + y2 = -3 + 1.5625

Combine like terms: -3 + 1.5625 = -1.4375
1.5625 + -2.5y + y2 = -1.4375

Factor a perfect square on the left side:
(y + -1.25)(y + -1.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.