Z^2-Z=0

Solution for Z^2-Z=0 equation:

Simplifying
Z2 + -1Z = 0

Reorder the terms:
-1Z + Z2 = 0

Solving
-1Z + Z2 = 0

Solving for variable 'Z'.

Factor out the Greatest Common Factor (GCF), 'Z'.
Z(-1 + Z) = 0

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

Simplifying
Z = 0

Solving
Z = 0

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

Simplifying
Z = 0
Subproblem 2
Set the factor '(-1 + Z)' equal to zero and attempt to solve:

Simplifying
-1 + Z = 0

Solving
-1 + Z = 0

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

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

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

Combine like terms: 0 + 1 = 1
Z = 1

Simplifying
Z = 1
Solution
Z = {0, 1}