(1-2i)Z^2-2z+1=0

Solution for (1-2i)Z^2-2z+1=0 equation:

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

Reorder the terms for easier multiplication:
Z2(1 + -2i) + -2z + 1 = 0
(1 * Z2 + -2i * Z2) + -2z + 1 = 0
(1Z2 + -2iZ2) + -2z + 1 = 0

Reorder the terms:
1 + 1Z2 + -2iZ2 + -2z = 0

Solving
1 + 1Z2 + -2iZ2 + -2z = 0

Solving for variable 'Z'.

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

Add '-1' to each side of the equation.
1 + 1Z2 + -2iZ2 + -1 + -2z = 0 + -1

Reorder the terms:
1 + -1 + 1Z2 + -2iZ2 + -2z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1Z2 + -2iZ2 + -2z = 0 + -1
1Z2 + -2iZ2 + -2z = 0 + -1

Combine like terms: 0 + -1 = -1
1Z2 + -2iZ2 + -2z = -1

Add '2z' to each side of the equation.
1Z2 + -2iZ2 + -2z + 2z = -1 + 2z

Combine like terms: -2z + 2z = 0
1Z2 + -2iZ2 + 0 = -1 + 2z
1Z2 + -2iZ2 = -1 + 2z

Reorder the terms:
1 + 1Z2 + -2iZ2 + -2z = -1 + 2z + 1 + -2z

Reorder the terms:
1 + 1Z2 + -2iZ2 + -2z = -1 + 1 + 2z + -2z

Combine like terms: -1 + 1 = 0
1 + 1Z2 + -2iZ2 + -2z = 0 + 2z + -2z
1 + 1Z2 + -2iZ2 + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0
1 + 1Z2 + -2iZ2 + -2z = 0

The solution to this equation could not be determined.