(Y^2)+Y=

Solution for (Y^2)+Y= equation:

Simplifying
(Y2) + Y = 0
Y2 + Y = 0

Reorder the terms:
Y + Y2 = 0

Solving
Y + Y2 = 0

Solving for variable 'Y'.

Factor out the Greatest Common Factor (GCF), 'Y'.
Y(1 + 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 '(1 + Y)' equal to zero and attempt to solve:

Simplifying
1 + Y = 0

Solving
1 + Y = 0

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

Add '-1' to each side of the equation.
1 + -1 + Y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + Y = 0 + -1
Y = 0 + -1

Combine like terms: 0 + -1 = -1
Y = -1

Simplifying
Y = -1
Solution
Y = {0, -1}