y(5-4y)=(y+2)2

Solution for y(5-4y)=(y+2)2 equation:

Simplifying
y(5 + -4y) = (y + 2) * 2
(5 * y + -4y * y) = (y + 2) * 2
(5y + -4y2) = (y + 2) * 2

Reorder the terms:
5y + -4y2 = (2 + y) * 2

Reorder the terms for easier multiplication:
5y + -4y2 = 2(2 + y)
5y + -4y2 = (2 * 2 + y * 2)
5y + -4y2 = (4 + 2y)

Solving
5y + -4y2 = 4 + 2y

Solving for variable 'y'.

Reorder the terms:
-4 + 5y + -2y + -4y2 = 4 + 2y + -4 + -2y

Combine like terms: 5y + -2y = 3y
-4 + 3y + -4y2 = 4 + 2y + -4 + -2y

Reorder the terms:
-4 + 3y + -4y2 = 4 + -4 + 2y + -2y

Combine like terms: 4 + -4 = 0
-4 + 3y + -4y2 = 0 + 2y + -2y
-4 + 3y + -4y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + 3y + -4y2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1 + -0.75y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.75y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -0.75y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.75y + y2 = 0 + -1
-0.75y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.75y + y2 = -1

The y term is -0.75y.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75y + 0.140625 + y2 = -1 + 0.140625

Reorder the terms:
0.140625 + -0.75y + y2 = -1 + 0.140625

Combine like terms: -1 + 0.140625 = -0.859375
0.140625 + -0.75y + y2 = -0.859375

Factor a perfect square on the left side:
(y + -0.375)(y + -0.375) = -0.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.