6+4yi=2x-16i

Solution for 6+4yi=2x-16i equation:

Simplifying
6 + 4yi = 2x + -16i

Reorder the terms:
6 + 4iy = -16i + 2x

Solving
6 + 4iy = -16i + 2x

Solving for variable 'i'.

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

Add '16i' to each side of the equation.
6 + 16i + 4iy = -16i + 16i + 2x

Combine like terms: -16i + 16i = 0
6 + 16i + 4iy = 0 + 2x
6 + 16i + 4iy = 2x

Add '-6' to each side of the equation.
6 + 16i + -6 + 4iy = -6 + 2x

Reorder the terms:
6 + -6 + 16i + 4iy = -6 + 2x

Combine like terms: 6 + -6 = 0
0 + 16i + 4iy = -6 + 2x
16i + 4iy = -6 + 2x

Reorder the terms:
6 + 16i + 4iy + -2x = -6 + 2x + 6 + -2x

Reorder the terms:
6 + 16i + 4iy + -2x = -6 + 6 + 2x + -2x

Combine like terms: -6 + 6 = 0
6 + 16i + 4iy + -2x = 0 + 2x + -2x
6 + 16i + 4iy + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 16i + 4iy + -2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 8i + 2iy + -1x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 8i + 2iy + -1x)' equal to zero and attempt to solve:

Simplifying
3 + 8i + 2iy + -1x = 0

Solving
3 + 8i + 2iy + -1x = 0

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

Add '-3' to each side of the equation.
3 + 8i + 2iy + -3 + -1x = 0 + -3

Reorder the terms:
3 + -3 + 8i + 2iy + -1x = 0 + -3

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

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

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.