f(0)=z^2-1+i

Solution for f(0)=z^2-1+i equation:

Simplifying
f(0) = z2 + -1 + i

Reorder the terms for easier multiplication:
0f = z2 + -1 + i

Anything times zero is zero.
0f = z2 + -1 + i

Reorder the terms:
0 = -1 + i + z2

Solving
0 = -1 + i + z2

Solving for variable 'i'.

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

Add '-1i' to each side of the equation.
0 + -1i = -1 + i + -1i + z2
Remove the zero:
-1i = -1 + i + -1i + z2

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

Divide each side by '-1'.
i = 1 + -1z2

Simplifying
i = 1 + -1z2