(3-2i)-(x+yi)=(3-11i)

Solution for (3-2i)-(x+yi)=(3-11i) equation:

Simplifying
(3 + -2i) + -1(x + yi) = (3 + -11i)

Remove parenthesis around (3 + -2i)
3 + -2i + -1(x + yi) = (3 + -11i)

Reorder the terms:
3 + -2i + -1(iy + x) = (3 + -11i)
3 + -2i + (iy * -1 + x * -1) = (3 + -11i)
3 + -2i + (-1iy + -1x) = (3 + -11i)

Remove parenthesis around (3 + -11i)
3 + -2i + -1iy + -1x = 3 + -11i

Add '-3' to each side of the equation.
3 + -2i + -1iy + -3 + -1x = 3 + -3 + -11i

Reorder the terms:
3 + -3 + -2i + -1iy + -1x = 3 + -3 + -11i

Combine like terms: 3 + -3 = 0
0 + -2i + -1iy + -1x = 3 + -3 + -11i
-2i + -1iy + -1x = 3 + -3 + -11i

Combine like terms: 3 + -3 = 0
-2i + -1iy + -1x = 0 + -11i
-2i + -1iy + -1x = -11i

Solving
-2i + -1iy + -1x = -11i

Solving for variable 'i'.

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

Add '11i' to each side of the equation.
-2i + -1iy + 11i + -1x = -11i + 11i

Reorder the terms:
-2i + 11i + -1iy + -1x = -11i + 11i

Combine like terms: -2i + 11i = 9i
9i + -1iy + -1x = -11i + 11i

Combine like terms: -11i + 11i = 0
9i + -1iy + -1x = 0

Add 'x' to each side of the equation.
9i + -1iy + -1x + x = 0 + x

Combine like terms: -1x + x = 0
9i + -1iy + 0 = 0 + x
9i + -1iy = 0 + x
Remove the zero:
9i + -1iy = x

Combine like terms: x + -1x = 0
9i + -1iy + -1x = 0

The solution to this equation could not be determined.