z^2-(4-2i)z-(2+16i)=0

Solution for z^2-(4-2i)z-(2+16i)=0 equation:

Simplifying
z2 + -1(4 + -2i) * z + -1(2 + 16i) = 0

Reorder the terms for easier multiplication:
z2 + -1z(4 + -2i) + -1(2 + 16i) = 0
z2 + (4 * -1z + -2i * -1z) + -1(2 + 16i) = 0

Reorder the terms:
z2 + (2iz + -4z) + -1(2 + 16i) = 0
z2 + (2iz + -4z) + -1(2 + 16i) = 0
z2 + 2iz + -4z + (2 * -1 + 16i * -1) = 0
z2 + 2iz + -4z + (-2 + -16i) = 0

Reorder the terms:
-2 + -16i + 2iz + -4z + z2 = 0

Solving
-2 + -16i + 2iz + -4z + z2 = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + -16i + 2iz + -4z + 2 + z2 = 0 + 2

Reorder the terms:
-2 + 2 + -16i + 2iz + -4z + z2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -16i + 2iz + -4z + z2 = 0 + 2
-16i + 2iz + -4z + z2 = 0 + 2

Combine like terms: 0 + 2 = 2
-16i + 2iz + -4z + z2 = 2

Add '4z' to each side of the equation.
-16i + 2iz + -4z + 4z + z2 = 2 + 4z

Combine like terms: -4z + 4z = 0
-16i + 2iz + 0 + z2 = 2 + 4z
-16i + 2iz + z2 = 2 + 4z

Add '-1z2' to each side of the equation.
-16i + 2iz + z2 + -1z2 = 2 + 4z + -1z2

Combine like terms: z2 + -1z2 = 0
-16i + 2iz + 0 = 2 + 4z + -1z2
-16i + 2iz = 2 + 4z + -1z2

Reorder the terms:
-2 + -16i + 2iz + -4z + z2 = 2 + 4z + -1z2 + -2 + -4z + z2

Reorder the terms:
-2 + -16i + 2iz + -4z + z2 = 2 + -2 + 4z + -4z + -1z2 + z2

Combine like terms: 2 + -2 = 0
-2 + -16i + 2iz + -4z + z2 = 0 + 4z + -4z + -1z2 + z2
-2 + -16i + 2iz + -4z + z2 = 4z + -4z + -1z2 + z2

Combine like terms: 4z + -4z = 0
-2 + -16i + 2iz + -4z + z2 = 0 + -1z2 + z2
-2 + -16i + 2iz + -4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-2 + -16i + 2iz + -4z + z2 = 0

The solution to this equation could not be determined.