z^2-2z-i=0

Solution for z^2-2z-i=0 equation:

Simplifying
z2 + -2z + -1i = 0

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

Solving
-1i + -2z + z2 = 0

Solving for variable 'i'.

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

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

Combine like terms: -2z + 2z = 0
-1i + 0 + z2 = 0 + 2z
-1i + z2 = 0 + 2z
Remove the zero:
-1i + z2 = 2z

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

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

Divide each side by '-1'.
i = -2z + z2

Simplifying
i = -2z + z2