F(z)=z^2-2+2

Solution for F(z)=z^2-2+2 equation:

Simplifying
F(z) = z2 + -2 + 2

Multiply F * z
zF = z2 + -2 + 2

Reorder the terms:
zF = -2 + 2 + z2

Combine like terms: -2 + 2 = 0
zF = 0 + z2
zF = z2

Solving
zF = z2

Solving for variable 'z'.

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

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

Simplifying
F + -1z = 0

Solving
F + -1z = 0

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

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

Combine like terms: F + -1F = 0
0 + -1z = 0 + -1F
-1z = 0 + -1F
Remove the zero:
-1z = -1F

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

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