Z^2-2z+(3-i)=0

Solution for Z^2-2z+(3-i)=0 equation:

Simplifying
Z2 + -2z + (3 + -1i) = 0

Remove parenthesis around (3 + -1i)
Z2 + -2z + 3 + -1i = 0

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

Solving
3 + Z2 + -1i + -2z = 0

Solving for variable 'Z'.

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

Add '-3' to each side of the equation.
3 + Z2 + -1i + -3 + -2z = 0 + -3

Reorder the terms:
3 + -3 + Z2 + -1i + -2z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + Z2 + -1i + -2z = 0 + -3
Z2 + -1i + -2z = 0 + -3

Combine like terms: 0 + -3 = -3
Z2 + -1i + -2z = -3

Add 'i' to each side of the equation.
Z2 + -1i + i + -2z = -3 + i

Combine like terms: -1i + i = 0
Z2 + 0 + -2z = -3 + i
Z2 + -2z = -3 + i

Add '2z' to each side of the equation.
Z2 + -2z + 2z = -3 + i + 2z

Combine like terms: -2z + 2z = 0
Z2 + 0 = -3 + i + 2z
Z2 = -3 + i + 2z

Simplifying
Z2 = -3 + i + 2z

Reorder the terms:
3 + Z2 + -1i + -2z = -3 + i + 2z + 3 + -1i + -2z

Reorder the terms:
3 + Z2 + -1i + -2z = -3 + 3 + i + -1i + 2z + -2z

Combine like terms: -3 + 3 = 0
3 + Z2 + -1i + -2z = 0 + i + -1i + 2z + -2z
3 + Z2 + -1i + -2z = i + -1i + 2z + -2z

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

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

The solution to this equation could not be determined.