y(y+2)+2y=-20

Solution for y(y+2)+2y=-20 equation:

Simplifying
y(y + 2) + 2y = -20

Reorder the terms:
y(2 + y) + 2y = -20
(2 * y + y * y) + 2y = -20
(2y + y2) + 2y = -20

Reorder the terms:
2y + 2y + y2 = -20

Combine like terms: 2y + 2y = 4y
4y + y2 = -20

Solving
4y + y2 = -20

Solving for variable 'y'.

Reorder the terms:
20 + 4y + y2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + 4y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 4y + -20 + y2 = 0 + -20

Reorder the terms:
20 + -20 + 4y + y2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 4y + y2 = 0 + -20
4y + y2 = 0 + -20

Combine like terms: 0 + -20 = -20
4y + y2 = -20

The y term is 4y.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4y + 4 + y2 = -20 + 4

Reorder the terms:
4 + 4y + y2 = -20 + 4

Combine like terms: -20 + 4 = -16
4 + 4y + y2 = -16

Factor a perfect square on the left side:
(y + 2)(y + 2) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.