(x+iy)(x+iy)(x+iy)+16=0

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Solution for (x+iy)(x+iy)(x+iy)+16=0 equation: 


Simplifying
(x + iy)(x + iy)(x + iy) + 16 = 0

Reorder the terms:
(iy + x)(x + iy)(x + iy) + 16 = 0

Reorder the terms:
(iy + x)(iy + x)(x + iy) + 16 = 0

Reorder the terms:
(iy + x)(iy + x)(iy + x) + 16 = 0

Multiply (iy + x) * (iy + x)
(iy(iy + x) + x(iy + x))(iy + x) + 16 = 0
((iy * iy + x * iy) + x(iy + x))(iy + x) + 16 = 0

Reorder the terms:
((ixy + i2y2) + x(iy + x))(iy + x) + 16 = 0
((ixy + i2y2) + x(iy + x))(iy + x) + 16 = 0
(ixy + i2y2 + (iy * x + x * x))(iy + x) + 16 = 0
(ixy + i2y2 + (ixy + x2))(iy + x) + 16 = 0

Reorder the terms:
(ixy + ixy + i2y2 + x2)(iy + x) + 16 = 0

Combine like terms: ixy + ixy = 2ixy
(2ixy + i2y2 + x2)(iy + x) + 16 = 0

Multiply (2ixy + i2y2 + x2) * (iy + x)
(2ixy * (iy + x) + i2y2(iy + x) + x2(iy + x)) + 16 = 0
((iy * 2ixy + x * 2ixy) + i2y2(iy + x) + x2(iy + x)) + 16 = 0

Reorder the terms:
((2ix2y + 2i2xy2) + i2y2(iy + x) + x2(iy + x)) + 16 = 0
((2ix2y + 2i2xy2) + i2y2(iy + x) + x2(iy + x)) + 16 = 0
(2ix2y + 2i2xy2 + (iy * i2y2 + x * i2y2) + x2(iy + x)) + 16 = 0

Reorder the terms:
(2ix2y + 2i2xy2 + (i2xy2 + i3y3) + x2(iy + x)) + 16 = 0
(2ix2y + 2i2xy2 + (i2xy2 + i3y3) + x2(iy + x)) + 16 = 0
(2ix2y + 2i2xy2 + i2xy2 + i3y3 + (iy * x2 + x * x2)) + 16 = 0
(2ix2y + 2i2xy2 + i2xy2 + i3y3 + (ix2y + x3)) + 16 = 0

Reorder the terms:
(2ix2y + ix2y + 2i2xy2 + i2xy2 + i3y3 + x3) + 16 = 0

Combine like terms: 2ix2y + ix2y = 3ix2y
(3ix2y + 2i2xy2 + i2xy2 + i3y3 + x3) + 16 = 0

Combine like terms: 2i2xy2 + i2xy2 = 3i2xy2
(3ix2y + 3i2xy2 + i3y3 + x3) + 16 = 0

Reorder the terms:
16 + 3ix2y + 3i2xy2 + i3y3 + x3 = 0

Solving
16 + 3ix2y + 3i2xy2 + i3y3 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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