z^2-2zi+3=0

Solution for z^2-2zi+3=0 equation:

Simplifying
z2 + -2zi + 3 = 0

Reorder the terms:
3 + -2iz + z2 = 0

Solving
3 + -2iz + z2 = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -2iz + -3 + z2 = 0 + -3

Reorder the terms:
3 + -3 + -2iz + z2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2iz + z2 = 0 + -3
-2iz + z2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2iz + z2 = -3

Add '-1z2' to each side of the equation.
-2iz + z2 + -1z2 = -3 + -1z2

Combine like terms: z2 + -1z2 = 0
-2iz + 0 = -3 + -1z2
-2iz = -3 + -1z2

Divide each side by '-2z'.
i = 1.5z-1 + 0.5z

Simplifying
i = 1.5z-1 + 0.5z