2z+z^2-2iz-4=0

Solution for 2z+z^2-2iz-4=0 equation:

Simplifying
2z + z2 + -2iz + -4 = 0

Reorder the terms:
-4 + -2iz + 2z + z2 = 0

Solving
-4 + -2iz + 2z + z2 = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + -2iz + 2z + 4 + z2 = 0 + 4

Reorder the terms:
-4 + 4 + -2iz + 2z + z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -2iz + 2z + z2 = 0 + 4
-2iz + 2z + z2 = 0 + 4

Combine like terms: 0 + 4 = 4
-2iz + 2z + z2 = 4

Add '-2z' to each side of the equation.
-2iz + 2z + -2z + z2 = 4 + -2z

Combine like terms: 2z + -2z = 0
-2iz + 0 + z2 = 4 + -2z
-2iz + z2 = 4 + -2z

Add '-1z2' to each side of the equation.
-2iz + z2 + -1z2 = 4 + -2z + -1z2

Combine like terms: z2 + -1z2 = 0
-2iz + 0 = 4 + -2z + -1z2
-2iz = 4 + -2z + -1z2

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

Simplifying
i = -2z-1 + 1 + 0.5z

Reorder the terms:
i = 1 + -2z-1 + 0.5z