Z^2-(4-2i)z+6-8i=0

Solution for Z^2-(4-2i)z+6-8i=0 equation:

Simplifying
Z2 + -1(4 + -2i) * z + 6 + -8i = 0

Reorder the terms for easier multiplication:
Z2 + -1z(4 + -2i) + 6 + -8i = 0
Z2 + (4 * -1z + -2i * -1z) + 6 + -8i = 0

Reorder the terms:
Z2 + (2iz + -4z) + 6 + -8i = 0
Z2 + (2iz + -4z) + 6 + -8i = 0

Reorder the terms:
6 + Z2 + -8i + 2iz + -4z = 0

Solving
6 + Z2 + -8i + 2iz + -4z = 0

Solving for variable 'Z'.

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

Add '-6' to each side of the equation.
6 + Z2 + -8i + 2iz + -6 + -4z = 0 + -6

Reorder the terms:
6 + -6 + Z2 + -8i + 2iz + -4z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + Z2 + -8i + 2iz + -4z = 0 + -6
Z2 + -8i + 2iz + -4z = 0 + -6

Combine like terms: 0 + -6 = -6
Z2 + -8i + 2iz + -4z = -6

Add '8i' to each side of the equation.
Z2 + -8i + 2iz + 8i + -4z = -6 + 8i

Reorder the terms:
Z2 + -8i + 8i + 2iz + -4z = -6 + 8i

Combine like terms: -8i + 8i = 0
Z2 + 0 + 2iz + -4z = -6 + 8i
Z2 + 2iz + -4z = -6 + 8i

Add '-2iz' to each side of the equation.
Z2 + 2iz + -2iz + -4z = -6 + 8i + -2iz

Combine like terms: 2iz + -2iz = 0
Z2 + 0 + -4z = -6 + 8i + -2iz
Z2 + -4z = -6 + 8i + -2iz

Add '4z' to each side of the equation.
Z2 + -4z + 4z = -6 + 8i + -2iz + 4z

Combine like terms: -4z + 4z = 0
Z2 + 0 = -6 + 8i + -2iz + 4z
Z2 = -6 + 8i + -2iz + 4z

Simplifying
Z2 = -6 + 8i + -2iz + 4z

Reorder the terms:
6 + Z2 + -8i + 2iz + -4z = -6 + 8i + -2iz + 4z + 6 + -8i + 2iz + -4z

Reorder the terms:
6 + Z2 + -8i + 2iz + -4z = -6 + 6 + 8i + -8i + -2iz + 2iz + 4z + -4z

Combine like terms: -6 + 6 = 0
6 + Z2 + -8i + 2iz + -4z = 0 + 8i + -8i + -2iz + 2iz + 4z + -4z
6 + Z2 + -8i + 2iz + -4z = 8i + -8i + -2iz + 2iz + 4z + -4z

Combine like terms: 8i + -8i = 0
6 + Z2 + -8i + 2iz + -4z = 0 + -2iz + 2iz + 4z + -4z
6 + Z2 + -8i + 2iz + -4z = -2iz + 2iz + 4z + -4z

Combine like terms: -2iz + 2iz = 0
6 + Z2 + -8i + 2iz + -4z = 0 + 4z + -4z
6 + Z2 + -8i + 2iz + -4z = 4z + -4z

Combine like terms: 4z + -4z = 0
6 + Z2 + -8i + 2iz + -4z = 0

The solution to this equation could not be determined.