6+(3x+y)i=6x-6i

Solution for 6+(3x+y)i=6x-6i equation:

Simplifying
6 + (3x + y) * i = 6x + -6i

Reorder the terms for easier multiplication:
6 + i(3x + y) = 6x + -6i
6 + (3x * i + y * i) = 6x + -6i
6 + (3ix + iy) = 6x + -6i

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

Solving
6 + 3ix + iy = -6i + 6x

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.
6 + 3ix + 6i + iy = -6i + 6i + 6x

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.