2y(y-1)=5y-11

Solution for 2y(y-1)=5y-11 equation:

Simplifying
2y(y + -1) = 5y + -11

Reorder the terms:
2y(-1 + y) = 5y + -11
(-1 * 2y + y * 2y) = 5y + -11
(-2y + 2y2) = 5y + -11

Reorder the terms:
-2y + 2y2 = -11 + 5y

Solving
-2y + 2y2 = -11 + 5y

Solving for variable 'y'.

Reorder the terms:
11 + -2y + -5y + 2y2 = -11 + 5y + 11 + -5y

Combine like terms: -2y + -5y = -7y
11 + -7y + 2y2 = -11 + 5y + 11 + -5y

Reorder the terms:
11 + -7y + 2y2 = -11 + 11 + 5y + -5y

Combine like terms: -11 + 11 = 0
11 + -7y + 2y2 = 0 + 5y + -5y
11 + -7y + 2y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -7y + 2y2 = 0

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

Divide each side by '2'.
5.5 + -3.5y + y2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -3.5y + -5.5 + y2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -3.5y + y2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -3.5y + y2 = 0 + -5.5
-3.5y + y2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-3.5y + y2 = -5.5

The y term is -3.5y.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5y + 3.0625 + y2 = -5.5 + 3.0625

Reorder the terms:
3.0625 + -3.5y + y2 = -5.5 + 3.0625

Combine like terms: -5.5 + 3.0625 = -2.4375
3.0625 + -3.5y + y2 = -2.4375

Factor a perfect square on the left side:
(y + -1.75)(y + -1.75) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.