(x+(3-i))(x-(3-i))=0

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Solution for (x+(3-i))(x-(3-i))=0 equation: 


Simplifying
(x + (3 + -1i))(x + -1(3 + -1i)) = 0

Remove parenthesis around (3 + -1i)
(x + 3 + -1i)(x + -1(3 + -1i)) = 0

Reorder the terms:
(3 + -1i + x)(x + -1(3 + -1i)) = 0
(3 + -1i + x)(x + (3 * -1 + -1i * -1)) = 0
(3 + -1i + x)(x + (-3 + 1i)) = 0

Reorder the terms:
(3 + -1i + x)(-3 + 1i + x) = 0

Multiply (3 + -1i + x) * (-3 + 1i + x)
(3(-3 + 1i + x) + -1i * (-3 + 1i + x) + x(-3 + 1i + x)) = 0
((-3 * 3 + 1i * 3 + x * 3) + -1i * (-3 + 1i + x) + x(-3 + 1i + x)) = 0
((-9 + 3i + 3x) + -1i * (-3 + 1i + x) + x(-3 + 1i + x)) = 0
(-9 + 3i + 3x + (-3 * -1i + 1i * -1i + x * -1i) + x(-3 + 1i + x)) = 0

Reorder the terms:
(-9 + 3i + 3x + (3i + -1ix + -1i2) + x(-3 + 1i + x)) = 0
(-9 + 3i + 3x + (3i + -1ix + -1i2) + x(-3 + 1i + x)) = 0
(-9 + 3i + 3x + 3i + -1ix + -1i2 + (-3 * x + 1i * x + x * x)) = 0

Reorder the terms:
(-9 + 3i + 3x + 3i + -1ix + -1i2 + (1ix + -3x + x2)) = 0
(-9 + 3i + 3x + 3i + -1ix + -1i2 + (1ix + -3x + x2)) = 0

Reorder the terms:
(-9 + 3i + 3i + -1ix + 1ix + -1i2 + 3x + -3x + x2) = 0

Combine like terms: 3i + 3i = 6i
(-9 + 6i + -1ix + 1ix + -1i2 + 3x + -3x + x2) = 0

Combine like terms: -1ix + 1ix = 0
(-9 + 6i + 0 + -1i2 + 3x + -3x + x2) = 0
(-9 + 6i + -1i2 + 3x + -3x + x2) = 0

Combine like terms: 3x + -3x = 0
(-9 + 6i + -1i2 + 0 + x2) = 0
(-9 + 6i + -1i2 + x2) = 0

Solving
-9 + 6i + -1i2 + x2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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