(3-2i)-(x+yi)=(2-3i)

Solution for (3-2i)-(x+yi)=(2-3i) equation:

Simplifying
(3 + -2i) + -1(x + yi) = (2 + -3i)

Remove parenthesis around (3 + -2i)
3 + -2i + -1(x + yi) = (2 + -3i)

Reorder the terms:
3 + -2i + -1(iy + x) = (2 + -3i)
3 + -2i + (iy * -1 + x * -1) = (2 + -3i)
3 + -2i + (-1iy + -1x) = (2 + -3i)

Remove parenthesis around (2 + -3i)
3 + -2i + -1iy + -1x = 2 + -3i

Solving
3 + -2i + -1iy + -1x = 2 + -3i

Solving for variable 'i'.

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

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

Reorder the terms:
3 + -2i + 3i + -1iy + -1x = 2 + -3i + 3i

Combine like terms: -2i + 3i = 1i
3 + 1i + -1iy + -1x = 2 + -3i + 3i

Combine like terms: -3i + 3i = 0
3 + 1i + -1iy + -1x = 2 + 0
3 + 1i + -1iy + -1x = 2

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

Reorder the terms:
3 + -3 + 1i + -1iy + -1x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 1i + -1iy + -1x = 2 + -3
1i + -1iy + -1x = 2 + -3

Combine like terms: 2 + -3 = -1
1i + -1iy + -1x = -1

Add 'x' to each side of the equation.
1i + -1iy + -1x + x = -1 + x

Combine like terms: -1x + x = 0
1i + -1iy + 0 = -1 + x
1i + -1iy = -1 + x

Reorder the terms:
1 + 1i + -1iy + -1x = -1 + x + 1 + -1x

Reorder the terms:
1 + 1i + -1iy + -1x = -1 + 1 + x + -1x

Combine like terms: -1 + 1 = 0
1 + 1i + -1iy + -1x = 0 + x + -1x
1 + 1i + -1iy + -1x = x + -1x

Combine like terms: x + -1x = 0
1 + 1i + -1iy + -1x = 0

The solution to this equation could not be determined.