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

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

Simplifying
f(0) = z2 + -1 + 2i

Reorder the terms for easier multiplication:
0f = z2 + -1 + 2i

Anything times zero is zero.
0f = z2 + -1 + 2i

Reorder the terms:
0 = -1 + 2i + z2

Solving
0 = -1 + 2i + z2

Solving for variable 'i'.

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

Add '-2i' to each side of the equation.
0 + -2i = -1 + 2i + -2i + z2
Remove the zero:
-2i = -1 + 2i + -2i + z2

Combine like terms: 2i + -2i = 0
-2i = -1 + 0 + z2
-2i = -1 + z2

Divide each side by '-2'.
i = 0.5 + -0.5z2

Simplifying
i = 0.5 + -0.5z2