0=z*z-z

Solution for 0=z*z-z equation:

Simplifying
0 = z * z + -1z

Multiply z * z
0 = z2 + -1z

Reorder the terms:
0 = -1z + z2

Solving
0 = -1z + z2

Solving for variable 'z'.
Remove the zero:
z + -1z2 = -1z + z2 + z + -1z2

Reorder the terms:
z + -1z2 = -1z + z + z2 + -1z2

Combine like terms: -1z + z = 0
z + -1z2 = 0 + z2 + -1z2
z + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
z + -1z2 = 0

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

Simplifying
1 + -1z = 0

Solving
1 + -1z = 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 + -1z = 0 + -1

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

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

Divide each side by '-1'.
z = 1

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