Y^2-Y=0

Solution for Y^2-Y=0 equation:

Simplifying
Y2 + -1Y = 0

Reorder the terms:
-1Y + Y2 = 0

Solving
-1Y + 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}