6+(x+2y)i=x+4i

Solution for 6+(x+2y)i=x+4i equation:

Simplifying
6 + (x + 2y) * i = x + 4i

Reorder the terms for easier multiplication:
6 + i(x + 2y) = x + 4i
6 + (x * i + 2y * i) = x + 4i
6 + (ix + 2iy) = x + 4i

Reorder the terms:
6 + ix + 2iy = 4i + x

Solving
6 + ix + 2iy = 4i + x

Solving for variable 'i'.

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

Add '-4i' to each side of the equation.
6 + ix + -4i + 2iy = 4i + -4i + x

Reorder the terms:
6 + -4i + ix + 2iy = 4i + -4i + x

Combine like terms: 4i + -4i = 0
6 + -4i + ix + 2iy = 0 + x
6 + -4i + ix + 2iy = x

Add '-6' to each side of the equation.
6 + -4i + ix + -6 + 2iy = -6 + x

Reorder the terms:
6 + -6 + -4i + ix + 2iy = -6 + x

Combine like terms: 6 + -6 = 0
0 + -4i + ix + 2iy = -6 + x
-4i + ix + 2iy = -6 + x

Reorder the terms:
6 + -4i + ix + 2iy + -1x = -6 + x + 6 + -1x

Reorder the terms:
6 + -4i + ix + 2iy + -1x = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
6 + -4i + ix + 2iy + -1x = 0 + x + -1x
6 + -4i + ix + 2iy + -1x = x + -1x

Combine like terms: x + -1x = 0
6 + -4i + ix + 2iy + -1x = 0

The solution to this equation could not be determined.