3+yi=x+6i

Solution for 3+yi=x+6i equation:

Simplifying
3 + yi = x + 6i

Reorder the terms:
3 + iy = 6i + x

Solving
3 + iy = 6i + x

Solving for variable 'i'.

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

Add '-6i' to each side of the equation.
3 + -6i + iy = 6i + -6i + x

Combine like terms: 6i + -6i = 0
3 + -6i + iy = 0 + x
3 + -6i + iy = x

Add '-3' to each side of the equation.
3 + -6i + -3 + iy = -3 + x

Reorder the terms:
3 + -3 + -6i + iy = -3 + x

Combine like terms: 3 + -3 = 0
0 + -6i + iy = -3 + x
-6i + iy = -3 + x

Reorder the terms:
3 + -6i + iy + -1x = -3 + x + 3 + -1x

Reorder the terms:
3 + -6i + iy + -1x = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
3 + -6i + iy + -1x = 0 + x + -1x
3 + -6i + iy + -1x = x + -1x

Combine like terms: x + -1x = 0
3 + -6i + iy + -1x = 0

The solution to this equation could not be determined.