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

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


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

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

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

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

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

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

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

Multiply (-9i2 + x2) * (3 + -1i)
(-9i2 * (3 + -1i) + x2(3 + -1i))(3 + i) = 0
((3 * -9i2 + -1i * -9i2) + x2(3 + -1i))(3 + i) = 0
((-27i2 + 9i3) + x2(3 + -1i))(3 + i) = 0
(-27i2 + 9i3 + (3 * x2 + -1i * x2))(3 + i) = 0

Reorder the terms:
(-27i2 + 9i3 + (-1ix2 + 3x2))(3 + i) = 0
(-27i2 + 9i3 + (-1ix2 + 3x2))(3 + i) = 0

Reorder the terms:
(-1ix2 + -27i2 + 9i3 + 3x2)(3 + i) = 0
(-1ix2 + -27i2 + 9i3 + 3x2)(3 + i) = 0

Multiply (-1ix2 + -27i2 + 9i3 + 3x2) * (3 + i)
(-1ix2 * (3 + i) + -27i2 * (3 + i) + 9i3 * (3 + i) + 3x2 * (3 + i)) = 0
((3 * -1ix2 + i * -1ix2) + -27i2 * (3 + i) + 9i3 * (3 + i) + 3x2 * (3 + i)) = 0
((-3ix2 + -1i2x2) + -27i2 * (3 + i) + 9i3 * (3 + i) + 3x2 * (3 + i)) = 0
(-3ix2 + -1i2x2 + (3 * -27i2 + i * -27i2) + 9i3 * (3 + i) + 3x2 * (3 + i)) = 0
(-3ix2 + -1i2x2 + (-81i2 + -27i3) + 9i3 * (3 + i) + 3x2 * (3 + i)) = 0
(-3ix2 + -1i2x2 + -81i2 + -27i3 + (3 * 9i3 + i * 9i3) + 3x2 * (3 + i)) = 0
(-3ix2 + -1i2x2 + -81i2 + -27i3 + (27i3 + 9i4) + 3x2 * (3 + i)) = 0
(-3ix2 + -1i2x2 + -81i2 + -27i3 + 27i3 + 9i4 + (3 * 3x2 + i * 3x2)) = 0

Reorder the terms:
(-3ix2 + -1i2x2 + -81i2 + -27i3 + 27i3 + 9i4 + (3ix2 + 9x2)) = 0
(-3ix2 + -1i2x2 + -81i2 + -27i3 + 27i3 + 9i4 + (3ix2 + 9x2)) = 0

Reorder the terms:
(-3ix2 + 3ix2 + -81i2 + -1i2x2 + -27i3 + 27i3 + 9i4 + 9x2) = 0

Combine like terms: -3ix2 + 3ix2 = 0
(0 + -81i2 + -1i2x2 + -27i3 + 27i3 + 9i4 + 9x2) = 0
(-81i2 + -1i2x2 + -27i3 + 27i3 + 9i4 + 9x2) = 0

Combine like terms: -27i3 + 27i3 = 0
(-81i2 + -1i2x2 + 0 + 9i4 + 9x2) = 0
(-81i2 + -1i2x2 + 9i4 + 9x2) = 0

Solving
-81i2 + -1i2x2 + 9i4 + 9x2 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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