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

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


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

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

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

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

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

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

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

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

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

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

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

Solving
-16 + 8i + -1i2 + x2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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