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

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


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

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

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

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

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

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

Reorder the terms:
((ixy + i2y2) + x(iy + x)) = i(x + -1i * y)
((ixy + i2y2) + x(iy + x)) = i(x + -1i * y)
(ixy + i2y2 + (iy * x + x * x)) = i(x + -1i * y)
(ixy + i2y2 + (ixy + x2)) = i(x + -1i * y)

Reorder the terms:
(ixy + ixy + i2y2 + x2) = i(x + -1i * y)

Combine like terms: ixy + ixy = 2ixy
(2ixy + i2y2 + x2) = i(x + -1i * y)

Multiply i * y
2ixy + i2y2 + x2 = i(x + -1iy)

Reorder the terms:
2ixy + i2y2 + x2 = i(-1iy + x)
2ixy + i2y2 + x2 = (-1iy * i + x * i)

Reorder the terms:
2ixy + i2y2 + x2 = (ix + -1i2y)
2ixy + i2y2 + x2 = (ix + -1i2y)

Solving
2ixy + i2y2 + x2 = ix + -1i2y

Solving for variable 'i'.

Reorder the terms:
-1ix + 2ixy + i2y + i2y2 + x2 = ix + -1i2y + -1ix + i2y

Reorder the terms:
-1ix + 2ixy + i2y + i2y2 + x2 = ix + -1ix + -1i2y + i2y

Combine like terms: ix + -1ix = 0
-1ix + 2ixy + i2y + i2y2 + x2 = 0 + -1i2y + i2y
-1ix + 2ixy + i2y + i2y2 + x2 = -1i2y + i2y

Combine like terms: -1i2y + i2y = 0
-1ix + 2ixy + i2y + i2y2 + x2 = 0

The solution to this equation could not be determined.

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