(x+6)+2yi=9-8i

Solution for (x+6)+2yi=9-8i equation:

Simplifying
(x + 6) + 2yi = 9 + -8i

Reorder the terms:
(6 + x) + 2yi = 9 + -8i

Remove parenthesis around (6 + x)
6 + x + 2yi = 9 + -8i

Reorder the terms:
6 + 2iy + x = 9 + -8i

Solving
6 + 2iy + x = 9 + -8i

Solving for variable 'i'.

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

Add '8i' to each side of the equation.
6 + 2iy + 8i + x = 9 + -8i + 8i

Reorder the terms:
6 + 8i + 2iy + x = 9 + -8i + 8i

Combine like terms: -8i + 8i = 0
6 + 8i + 2iy + x = 9 + 0
6 + 8i + 2iy + x = 9

Add '-6' to each side of the equation.
6 + 8i + 2iy + -6 + x = 9 + -6

Reorder the terms:
6 + -6 + 8i + 2iy + x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 8i + 2iy + x = 9 + -6
8i + 2iy + x = 9 + -6

Combine like terms: 9 + -6 = 3
8i + 2iy + x = 3

Add '-1x' to each side of the equation.
8i + 2iy + x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
8i + 2iy + 0 = 3 + -1x
8i + 2iy = 3 + -1x

Reorder the terms:
-3 + 8i + 2iy + x = 3 + -1x + -3 + x

Reorder the terms:
-3 + 8i + 2iy + x = 3 + -3 + -1x + x

Combine like terms: 3 + -3 = 0
-3 + 8i + 2iy + x = 0 + -1x + x
-3 + 8i + 2iy + x = -1x + x

Combine like terms: -1x + x = 0
-3 + 8i + 2iy + x = 0

The solution to this equation could not be determined.