5y(y-4)+5y=-28

Solution for 5y(y-4)+5y=-28 equation:

Simplifying
5y(y + -4) + 5y = -28

Reorder the terms:
5y(-4 + y) + 5y = -28
(-4 * 5y + y * 5y) + 5y = -28
(-20y + 5y2) + 5y = -28

Reorder the terms:
-20y + 5y + 5y2 = -28

Combine like terms: -20y + 5y = -15y
-15y + 5y2 = -28

Solving
-15y + 5y2 = -28

Solving for variable 'y'.

Reorder the terms:
28 + -15y + 5y2 = -28 + 28

Combine like terms: -28 + 28 = 0
28 + -15y + 5y2 = 0

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

Divide each side by '5'.
5.6 + -3y + y2 = 0

Move the constant term to the right:

Add '-5.6' to each side of the equation.
5.6 + -3y + -5.6 + y2 = 0 + -5.6

Reorder the terms:
5.6 + -5.6 + -3y + y2 = 0 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + -3y + y2 = 0 + -5.6
-3y + y2 = 0 + -5.6

Combine like terms: 0 + -5.6 = -5.6
-3y + y2 = -5.6

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 = -5.6 + 2.25

Reorder the terms:
2.25 + -3y + y2 = -5.6 + 2.25

Combine like terms: -5.6 + 2.25 = -3.35
2.25 + -3y + y2 = -3.35

Factor a perfect square on the left side:
(y + -1.5)(y + -1.5) = -3.35

Can't calculate square root of the right side.

The solution to this equation could not be determined.