Y(y+2)=0

Solution for Y(y+2)=0 equation:

Simplifying
Y(y + 2) = 0

Reorder the terms:
Y(2 + y) = 0
(2 * Y + y * Y) = 0
(2Y + yY) = 0

Solving
2Y + yY = 0

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'Y'.
Y(2 + y) = 0

Subproblem 1
Set the factor 'Y' equal to zero and attempt to solve:

Simplifying
Y = 0

Solving
Y = 0

Move all terms containing Y to the left, all other terms to the right.

Simplifying
Y = 0
Subproblem 2
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

Move all terms containing Y to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Add '-1y' to each side of the equation.
y + -1y = -2 + -1y

Combine like terms: y + -1y = 0
0 = -2 + -1y

Simplifying
0 = -2 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
Y = {0}