(x+iy)-(x-iy)+2-4i=2i(x+iy)

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Solution for (x+iy)-(x-iy)+2-4i=2i(x+iy) equation: 


Simplifying
(x + iy) + -1(x + -1iy) + 2 + -4i = 2i(x + iy)

Reorder the terms:
(iy + x) + -1(x + -1iy) + 2 + -4i = 2i(x + iy)

Remove parenthesis around (iy + x)
iy + x + -1(x + -1iy) + 2 + -4i = 2i(x + iy)

Reorder the terms:
iy + x + -1(-1iy + x) + 2 + -4i = 2i(x + iy)
iy + x + (-1iy * -1 + x * -1) + 2 + -4i = 2i(x + iy)
iy + x + (1iy + -1x) + 2 + -4i = 2i(x + iy)

Reorder the terms:
2 + -4i + iy + 1iy + x + -1x = 2i(x + iy)

Combine like terms: iy + 1iy = 2iy
2 + -4i + 2iy + x + -1x = 2i(x + iy)

Combine like terms: x + -1x = 0
2 + -4i + 2iy + 0 = 2i(x + iy)
2 + -4i + 2iy = 2i(x + iy)

Reorder the terms:
2 + -4i + 2iy = 2i(iy + x)
2 + -4i + 2iy = (iy * 2i + x * 2i)

Reorder the terms:
2 + -4i + 2iy = (2ix + 2i2y)
2 + -4i + 2iy = (2ix + 2i2y)

Solving
2 + -4i + 2iy = 2ix + 2i2y

Solving for variable 'i'.

Reorder the terms:
2 + -4i + -2ix + 2iy + -2i2y = 2ix + 2i2y + -2ix + -2i2y

Reorder the terms:
2 + -4i + -2ix + 2iy + -2i2y = 2ix + -2ix + 2i2y + -2i2y

Combine like terms: 2ix + -2ix = 0
2 + -4i + -2ix + 2iy + -2i2y = 0 + 2i2y + -2i2y
2 + -4i + -2ix + 2iy + -2i2y = 2i2y + -2i2y

Combine like terms: 2i2y + -2i2y = 0
2 + -4i + -2ix + 2iy + -2i2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -2i + -1ix + iy + -1i2y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -2i + -1ix + iy + -1i2y)' equal to zero and attempt to solve:

Simplifying
1 + -2i + -1ix + iy + -1i2y = 0

Solving
1 + -2i + -1ix + iy + -1i2y = 0

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.

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