2*i*(x-i*y)+4=2*(x+i*y+4*i)

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


Simplifying
2i(x + -1i * y) + 4 = 2(x + i * y + 4i)

Multiply i * y
2i(x + -1iy) + 4 = 2(x + i * y + 4i)

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

Reorder the terms:
(2ix + -2i2y) + 4 = 2(x + i * y + 4i)
(2ix + -2i2y) + 4 = 2(x + i * y + 4i)

Reorder the terms:
4 + 2ix + -2i2y = 2(x + i * y + 4i)

Multiply i * y
4 + 2ix + -2i2y = 2(x + iy + 4i)

Reorder the terms:
4 + 2ix + -2i2y = 2(4i + iy + x)
4 + 2ix + -2i2y = (4i * 2 + iy * 2 + x * 2)
4 + 2ix + -2i2y = (8i + 2iy + 2x)

Solving
4 + 2ix + -2i2y = 8i + 2iy + 2x

Solving for variable 'i'.

Reorder the terms:
4 + -8i + 2ix + -2iy + -2i2y + -2x = 8i + 2iy + 2x + -8i + -2iy + -2x

Reorder the terms:
4 + -8i + 2ix + -2iy + -2i2y + -2x = 8i + -8i + 2iy + -2iy + 2x + -2x

Combine like terms: 8i + -8i = 0
4 + -8i + 2ix + -2iy + -2i2y + -2x = 0 + 2iy + -2iy + 2x + -2x
4 + -8i + 2ix + -2iy + -2i2y + -2x = 2iy + -2iy + 2x + -2x

Combine like terms: 2iy + -2iy = 0
4 + -8i + 2ix + -2iy + -2i2y + -2x = 0 + 2x + -2x
4 + -8i + 2ix + -2iy + -2i2y + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -8i + 2ix + -2iy + -2i2y + -2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -4i + ix + -1iy + -1i2y + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -4i + ix + -1iy + -1i2y + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -4i + ix + -1iy + -1i2y + -1x = 0

Solving
2 + -4i + ix + -1iy + -1i2y + -1x = 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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