(x+(3+9i))(x-(3+9i))=0

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Solution for (x+(3+9i))(x-(3+9i))=0 equation: 


Simplifying
(x + (3 + 9i))(x + -1(3 + 9i)) = 0

Remove parenthesis around (3 + 9i)
(x + 3 + 9i)(x + -1(3 + 9i)) = 0

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

Reorder the terms:
(3 + 9i + x)(-3 + -9i + x) = 0

Multiply (3 + 9i + x) * (-3 + -9i + x)
(3(-3 + -9i + x) + 9i * (-3 + -9i + x) + x(-3 + -9i + x)) = 0
((-3 * 3 + -9i * 3 + x * 3) + 9i * (-3 + -9i + x) + x(-3 + -9i + x)) = 0
((-9 + -27i + 3x) + 9i * (-3 + -9i + x) + x(-3 + -9i + x)) = 0
(-9 + -27i + 3x + (-3 * 9i + -9i * 9i + x * 9i) + x(-3 + -9i + x)) = 0

Reorder the terms:
(-9 + -27i + 3x + (-27i + 9ix + -81i2) + x(-3 + -9i + x)) = 0
(-9 + -27i + 3x + (-27i + 9ix + -81i2) + x(-3 + -9i + x)) = 0
(-9 + -27i + 3x + -27i + 9ix + -81i2 + (-3 * x + -9i * x + x * x)) = 0

Reorder the terms:
(-9 + -27i + 3x + -27i + 9ix + -81i2 + (-9ix + -3x + x2)) = 0
(-9 + -27i + 3x + -27i + 9ix + -81i2 + (-9ix + -3x + x2)) = 0

Reorder the terms:
(-9 + -27i + -27i + 9ix + -9ix + -81i2 + 3x + -3x + x2) = 0

Combine like terms: -27i + -27i = -54i
(-9 + -54i + 9ix + -9ix + -81i2 + 3x + -3x + x2) = 0

Combine like terms: 9ix + -9ix = 0
(-9 + -54i + 0 + -81i2 + 3x + -3x + x2) = 0
(-9 + -54i + -81i2 + 3x + -3x + x2) = 0

Combine like terms: 3x + -3x = 0
(-9 + -54i + -81i2 + 0 + x2) = 0
(-9 + -54i + -81i2 + x2) = 0

Solving
-9 + -54i + -81i2 + x2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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