(1-i)*z+(3-i)=i

Solution for (1-i)*z+(3-i)=i equation:

Simplifying
(1 + -1i) * z + (3 + -1i) = i

Reorder the terms for easier multiplication:
z(1 + -1i) + (3 + -1i) = i
(1 * z + -1i * z) + (3 + -1i) = i

Reorder the terms:
(-1iz + 1z) + (3 + -1i) = i
(-1iz + 1z) + (3 + -1i) = i

Remove parenthesis around (3 + -1i)
-1iz + 1z + 3 + -1i = i

Reorder the terms:
3 + -1i + -1iz + 1z = i

Solving
3 + -1i + -1iz + 1z = i

Solving for variable 'i'.

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

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

Reorder the terms:
3 + -1i + -1i + -1iz + 1z = i + -1i

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.