(x-4i)(x+4i)(x-1-i)(x-1+i)=0

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Solution for (x-4i)(x+4i)(x-1-i)(x-1+i)=0 equation: 


Simplifying
(x + -4i)(x + 4i)(x + -1 + -1i)(x + -1 + i) = 0

Reorder the terms:
(-4i + x)(x + 4i)(x + -1 + -1i)(x + -1 + i) = 0

Reorder the terms:
(-4i + x)(4i + x)(x + -1 + -1i)(x + -1 + i) = 0

Reorder the terms:
(-4i + x)(4i + x)(-1 + -1i + x)(x + -1 + i) = 0

Reorder the terms:
(-4i + x)(4i + x)(-1 + -1i + x)(-1 + i + x) = 0

Multiply (-4i + x) * (4i + x)
(-4i * (4i + x) + x(4i + x))(-1 + -1i + x)(-1 + i + x) = 0
((4i * -4i + x * -4i) + x(4i + x))(-1 + -1i + x)(-1 + i + x) = 0

Reorder the terms:
((-4ix + -16i2) + x(4i + x))(-1 + -1i + x)(-1 + i + x) = 0
((-4ix + -16i2) + x(4i + x))(-1 + -1i + x)(-1 + i + x) = 0
(-4ix + -16i2 + (4i * x + x * x))(-1 + -1i + x)(-1 + i + x) = 0
(-4ix + -16i2 + (4ix + x2))(-1 + -1i + x)(-1 + i + x) = 0

Reorder the terms:
(-4ix + 4ix + -16i2 + x2)(-1 + -1i + x)(-1 + i + x) = 0

Combine like terms: -4ix + 4ix = 0
(0 + -16i2 + x2)(-1 + -1i + x)(-1 + i + x) = 0
(-16i2 + x2)(-1 + -1i + x)(-1 + i + x) = 0

Multiply (-16i2 + x2) * (-1 + -1i + x)
(-16i2 * (-1 + -1i + x) + x2(-1 + -1i + x))(-1 + i + x) = 0
((-1 * -16i2 + -1i * -16i2 + x * -16i2) + x2(-1 + -1i + x))(-1 + i + x) = 0

Reorder the terms:
((16i2 + -16i2x + 16i3) + x2(-1 + -1i + x))(-1 + i + x) = 0
((16i2 + -16i2x + 16i3) + x2(-1 + -1i + x))(-1 + i + x) = 0
(16i2 + -16i2x + 16i3 + (-1 * x2 + -1i * x2 + x * x2))(-1 + i + x) = 0

Reorder the terms:
(16i2 + -16i2x + 16i3 + (-1ix2 + -1x2 + x3))(-1 + i + x) = 0
(16i2 + -16i2x + 16i3 + (-1ix2 + -1x2 + x3))(-1 + i + x) = 0

Reorder the terms:
(-1ix2 + 16i2 + -16i2x + 16i3 + -1x2 + x3)(-1 + i + x) = 0
(-1ix2 + 16i2 + -16i2x + 16i3 + -1x2 + x3)(-1 + i + x) = 0

Multiply (-1ix2 + 16i2 + -16i2x + 16i3 + -1x2 + x3) * (-1 + i + x)
(-1ix2 * (-1 + i + x) + 16i2 * (-1 + i + x) + -16i2x * (-1 + i + x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0
((-1 * -1ix2 + i * -1ix2 + x * -1ix2) + 16i2 * (-1 + i + x) + -16i2x * (-1 + i + x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0

Reorder the terms:
((1ix2 + -1ix3 + -1i2x2) + 16i2 * (-1 + i + x) + -16i2x * (-1 + i + x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0
((1ix2 + -1ix3 + -1i2x2) + 16i2 * (-1 + i + x) + -16i2x * (-1 + i + x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0
(1ix2 + -1ix3 + -1i2x2 + (-1 * 16i2 + i * 16i2 + x * 16i2) + -16i2x * (-1 + i + x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0

Reorder the terms:
(1ix2 + -1ix3 + -1i2x2 + (-16i2 + 16i2x + 16i3) + -16i2x * (-1 + i + x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0
(1ix2 + -1ix3 + -1i2x2 + (-16i2 + 16i2x + 16i3) + -16i2x * (-1 + i + x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + (-1 * -16i2x + i * -16i2x + x * -16i2x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0

Reorder the terms:
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + (16i2x + -16i2x2 + -16i3x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + (16i2x + -16i2x2 + -16i3x) + 16i3 * (-1 + i + x) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + 16i2x + -16i2x2 + -16i3x + (-1 * 16i3 + i * 16i3 + x * 16i3) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0

Reorder the terms:
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + 16i2x + -16i2x2 + -16i3x + (-16i3 + 16i3x + 16i4) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + 16i2x + -16i2x2 + -16i3x + (-16i3 + 16i3x + 16i4) + -1x2 * (-1 + i + x) + x3(-1 + i + x)) = 0
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + 16i2x + -16i2x2 + -16i3x + -16i3 + 16i3x + 16i4 + (-1 * -1x2 + i * -1x2 + x * -1x2) + x3(-1 + i + x)) = 0

Reorder the terms:
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + 16i2x + -16i2x2 + -16i3x + -16i3 + 16i3x + 16i4 + (-1ix2 + 1x2 + -1x3) + x3(-1 + i + x)) = 0
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + 16i2x + -16i2x2 + -16i3x + -16i3 + 16i3x + 16i4 + (-1ix2 + 1x2 + -1x3) + x3(-1 + i + x)) = 0
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + 16i2x + -16i2x2 + -16i3x + -16i3 + 16i3x + 16i4 + -1ix2 + 1x2 + -1x3 + (-1 * x3 + i * x3 + x * x3)) = 0

Reorder the terms:
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + 16i2x + -16i2x2 + -16i3x + -16i3 + 16i3x + 16i4 + -1ix2 + 1x2 + -1x3 + (ix3 + -1x3 + x4)) = 0
(1ix2 + -1ix3 + -1i2x2 + -16i2 + 16i2x + 16i3 + 16i2x + -16i2x2 + -16i3x + -16i3 + 16i3x + 16i4 + -1ix2 + 1x2 + -1x3 + (ix3 + -1x3 + x4)) = 0

Reorder the terms:
(1ix2 + -1ix2 + -1ix3 + ix3 + -16i2 + 16i2x + 16i2x + -1i2x2 + -16i2x2 + 16i3 + -16i3 + -16i3x + 16i3x + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0

Combine like terms: 1ix2 + -1ix2 = 0
(0 + -1ix3 + ix3 + -16i2 + 16i2x + 16i2x + -1i2x2 + -16i2x2 + 16i3 + -16i3 + -16i3x + 16i3x + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0
(-1ix3 + ix3 + -16i2 + 16i2x + 16i2x + -1i2x2 + -16i2x2 + 16i3 + -16i3 + -16i3x + 16i3x + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0

Combine like terms: -1ix3 + ix3 = 0
(0 + -16i2 + 16i2x + 16i2x + -1i2x2 + -16i2x2 + 16i3 + -16i3 + -16i3x + 16i3x + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0
(-16i2 + 16i2x + 16i2x + -1i2x2 + -16i2x2 + 16i3 + -16i3 + -16i3x + 16i3x + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0

Combine like terms: 16i2x + 16i2x = 32i2x
(-16i2 + 32i2x + -1i2x2 + -16i2x2 + 16i3 + -16i3 + -16i3x + 16i3x + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0

Combine like terms: -1i2x2 + -16i2x2 = -17i2x2
(-16i2 + 32i2x + -17i2x2 + 16i3 + -16i3 + -16i3x + 16i3x + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0

Combine like terms: 16i3 + -16i3 = 0
(-16i2 + 32i2x + -17i2x2 + 0 + -16i3x + 16i3x + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0
(-16i2 + 32i2x + -17i2x2 + -16i3x + 16i3x + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0

Combine like terms: -16i3x + 16i3x = 0
(-16i2 + 32i2x + -17i2x2 + 0 + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0
(-16i2 + 32i2x + -17i2x2 + 16i4 + 1x2 + -1x3 + -1x3 + x4) = 0

Combine like terms: -1x3 + -1x3 = -2x3
(-16i2 + 32i2x + -17i2x2 + 16i4 + 1x2 + -2x3 + x4) = 0

Solving
-16i2 + 32i2x + -17i2x2 + 16i4 + 1x2 + -2x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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