x^2-(1-i)*x+(2-2i)=0

Solution for x^2-(1-i)*x+(2-2i)=0 equation:

Simplifying
x2 + -1(1 + -1i) * x + (2 + -2i) = 0

Reorder the terms for easier multiplication:
x2 + -1x(1 + -1i) + (2 + -2i) = 0
x2 + (1 * -1x + -1i * -1x) + (2 + -2i) = 0

Reorder the terms:
x2 + (1ix + -1x) + (2 + -2i) = 0
x2 + (1ix + -1x) + (2 + -2i) = 0

Remove parenthesis around (2 + -2i)
x2 + 1ix + -1x + 2 + -2i = 0

Reorder the terms:
2 + -2i + 1ix + -1x + x2 = 0

Solving
2 + -2i + 1ix + -1x + x2 = 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 + -2i + 1ix + -1x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2i + 1ix + -1x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2i + 1ix + -1x + x2 = 0 + -2
-2i + 1ix + -1x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2i + 1ix + -1x + x2 = -2

Add 'x' to each side of the equation.
-2i + 1ix + -1x + x + x2 = -2 + x

Combine like terms: -1x + x = 0
-2i + 1ix + 0 + x2 = -2 + x
-2i + 1ix + x2 = -2 + x

Add '-1x2' to each side of the equation.
-2i + 1ix + x2 + -1x2 = -2 + x + -1x2

Combine like terms: x2 + -1x2 = 0
-2i + 1ix + 0 = -2 + x + -1x2
-2i + 1ix = -2 + x + -1x2

Reorder the terms:
2 + -2i + 1ix + -1x + x2 = -2 + x + -1x2 + 2 + -1x + x2

Reorder the terms:
2 + -2i + 1ix + -1x + x2 = -2 + 2 + x + -1x + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + -2i + 1ix + -1x + x2 = 0 + x + -1x + -1x2 + x2
2 + -2i + 1ix + -1x + x2 = x + -1x + -1x2 + x2

Combine like terms: x + -1x = 0
2 + -2i + 1ix + -1x + x2 = 0 + -1x2 + x2
2 + -2i + 1ix + -1x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + -2i + 1ix + -1x + x2 = 0

The solution to this equation could not be determined.