(3+i)-(x+2yi)=0

Solution for (3+i)-(x+2yi)=0 equation:

Simplifying
(3 + i) + -1(x + 2yi) = 0

Remove parenthesis around (3 + i)
3 + i + -1(x + 2yi) = 0

Reorder the terms:
3 + i + -1(2iy + x) = 0
3 + i + (2iy * -1 + x * -1) = 0
3 + i + (-2iy + -1x) = 0

Solving
3 + i + -2iy + -1x = 0

Solving for variable 'i'.

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

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

Reorder the terms:
3 + -3 + i + -2iy + -1x = 0 + -3

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.