(x-(4-i))(x+(4-i))(x-8)=0

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Solution for (x-(4-i))(x+(4-i))(x-8)=0 equation: 


Simplifying
(x + -1(4 + -1i))(x + (4 + -1i))(x + -8) = 0
(x + (4 * -1 + -1i * -1))(x + (4 + -1i))(x + -8) = 0
(x + (-4 + 1i))(x + (4 + -1i))(x + -8) = 0

Reorder the terms:
(-4 + 1i + x)(x + (4 + -1i))(x + -8) = 0

Remove parenthesis around (4 + -1i)
(-4 + 1i + x)(x + 4 + -1i)(x + -8) = 0

Reorder the terms:
(-4 + 1i + x)(4 + -1i + x)(x + -8) = 0

Reorder the terms:
(-4 + 1i + x)(4 + -1i + x)(-8 + x) = 0

Multiply (-4 + 1i + x) * (4 + -1i + x)
(-4(4 + -1i + x) + 1i * (4 + -1i + x) + x(4 + -1i + x))(-8 + x) = 0
((4 * -4 + -1i * -4 + x * -4) + 1i * (4 + -1i + x) + x(4 + -1i + x))(-8 + x) = 0
((-16 + 4i + -4x) + 1i * (4 + -1i + x) + x(4 + -1i + x))(-8 + x) = 0
(-16 + 4i + -4x + (4 * 1i + -1i * 1i + x * 1i) + x(4 + -1i + x))(-8 + x) = 0

Reorder the terms:
(-16 + 4i + -4x + (4i + 1ix + -1i2) + x(4 + -1i + x))(-8 + x) = 0
(-16 + 4i + -4x + (4i + 1ix + -1i2) + x(4 + -1i + x))(-8 + x) = 0
(-16 + 4i + -4x + 4i + 1ix + -1i2 + (4 * x + -1i * x + x * x))(-8 + x) = 0

Reorder the terms:
(-16 + 4i + -4x + 4i + 1ix + -1i2 + (-1ix + 4x + x2))(-8 + x) = 0
(-16 + 4i + -4x + 4i + 1ix + -1i2 + (-1ix + 4x + x2))(-8 + x) = 0

Reorder the terms:
(-16 + 4i + 4i + 1ix + -1ix + -1i2 + -4x + 4x + x2)(-8 + x) = 0

Combine like terms: 4i + 4i = 8i
(-16 + 8i + 1ix + -1ix + -1i2 + -4x + 4x + x2)(-8 + x) = 0

Combine like terms: 1ix + -1ix = 0
(-16 + 8i + 0 + -1i2 + -4x + 4x + x2)(-8 + x) = 0
(-16 + 8i + -1i2 + -4x + 4x + x2)(-8 + x) = 0

Combine like terms: -4x + 4x = 0
(-16 + 8i + -1i2 + 0 + x2)(-8 + x) = 0
(-16 + 8i + -1i2 + x2)(-8 + x) = 0

Multiply (-16 + 8i + -1i2 + x2) * (-8 + x)
(-16(-8 + x) + 8i * (-8 + x) + -1i2 * (-8 + x) + x2(-8 + x)) = 0
((-8 * -16 + x * -16) + 8i * (-8 + x) + -1i2 * (-8 + x) + x2(-8 + x)) = 0
((128 + -16x) + 8i * (-8 + x) + -1i2 * (-8 + x) + x2(-8 + x)) = 0
(128 + -16x + (-8 * 8i + x * 8i) + -1i2 * (-8 + x) + x2(-8 + x)) = 0
(128 + -16x + (-64i + 8ix) + -1i2 * (-8 + x) + x2(-8 + x)) = 0
(128 + -16x + -64i + 8ix + (-8 * -1i2 + x * -1i2) + x2(-8 + x)) = 0
(128 + -16x + -64i + 8ix + (8i2 + -1i2x) + x2(-8 + x)) = 0
(128 + -16x + -64i + 8ix + 8i2 + -1i2x + (-8 * x2 + x * x2)) = 0
(128 + -16x + -64i + 8ix + 8i2 + -1i2x + (-8x2 + x3)) = 0

Reorder the terms:
(128 + -64i + 8ix + 8i2 + -1i2x + -16x + -8x2 + x3) = 0
(128 + -64i + 8ix + 8i2 + -1i2x + -16x + -8x2 + x3) = 0

Solving
128 + -64i + 8ix + 8i2 + -1i2x + -16x + -8x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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