z^2-4iz-1=2i

Solution for z^2-4iz-1=2i equation:

Simplifying
z2 + -4iz + -1 = 2i

Reorder the terms:
-1 + -4iz + z2 = 2i

Solving
-1 + -4iz + z2 = 2i

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.
-1 + -4iz + -2i + z2 = 2i + -2i

Reorder the terms:
-1 + -2i + -4iz + z2 = 2i + -2i

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

Add '1' to each side of the equation.
-1 + -2i + -4iz + 1 + z2 = 0 + 1

Reorder the terms:
-1 + 1 + -2i + -4iz + z2 = 0 + 1

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

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

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

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

Reorder the terms:
-1 + -2i + -4iz + z2 = 1 + -1z2 + -1 + z2

Reorder the terms:
-1 + -2i + -4iz + z2 = 1 + -1 + -1z2 + z2

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

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

The solution to this equation could not be determined.