z^2+2iz-1=0

Solution for z^2+2iz-1=0 equation:

Simplifying
z2 + 2iz + -1 = 0

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

Solving
-1 + 2iz + z2 = 0

Solving for variable 'i'.

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

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

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

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

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

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

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

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

Simplifying
i = 0.5z-1 + -0.5z