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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

Multiply (9 + -1i2 + 6x + x2) * (-1i + x)
(9(-1i + x) + -1i2 * (-1i + x) + 6x * (-1i + x) + x2(-1i + x))(1i + x) = 0
((-1i * 9 + x * 9) + -1i2 * (-1i + x) + 6x * (-1i + x) + x2(-1i + x))(1i + x) = 0
((-9i + 9x) + -1i2 * (-1i + x) + 6x * (-1i + x) + x2(-1i + x))(1i + x) = 0
(-9i + 9x + (-1i * -1i2 + x * -1i2) + 6x * (-1i + x) + x2(-1i + x))(1i + x) = 0

Reorder the terms:
(-9i + 9x + (-1i2x + 1i3) + 6x * (-1i + x) + x2(-1i + x))(1i + x) = 0
(-9i + 9x + (-1i2x + 1i3) + 6x * (-1i + x) + x2(-1i + x))(1i + x) = 0
(-9i + 9x + -1i2x + 1i3 + (-1i * 6x + x * 6x) + x2(-1i + x))(1i + x) = 0
(-9i + 9x + -1i2x + 1i3 + (-6ix + 6x2) + x2(-1i + x))(1i + x) = 0
(-9i + 9x + -1i2x + 1i3 + -6ix + 6x2 + (-1i * x2 + x * x2))(1i + x) = 0
(-9i + 9x + -1i2x + 1i3 + -6ix + 6x2 + (-1ix2 + x3))(1i + x) = 0

Reorder the terms:
(-9i + -6ix + -1ix2 + -1i2x + 1i3 + 9x + 6x2 + x3)(1i + x) = 0
(-9i + -6ix + -1ix2 + -1i2x + 1i3 + 9x + 6x2 + x3)(1i + x) = 0

Multiply (-9i + -6ix + -1ix2 + -1i2x + 1i3 + 9x + 6x2 + x3) * (1i + x)
(-9i * (1i + x) + -6ix * (1i + x) + -1ix2 * (1i + x) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
((1i * -9i + x * -9i) + -6ix * (1i + x) + -1ix2 * (1i + x) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0

Reorder the terms:
((-9ix + -9i2) + -6ix * (1i + x) + -1ix2 * (1i + x) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
((-9ix + -9i2) + -6ix * (1i + x) + -1ix2 * (1i + x) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + (1i * -6ix + x * -6ix) + -1ix2 * (1i + x) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0

Reorder the terms:
(-9ix + -9i2 + (-6ix2 + -6i2x) + -1ix2 * (1i + x) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + (-6ix2 + -6i2x) + -1ix2 * (1i + x) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + (1i * -1ix2 + x * -1ix2) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0

Reorder the terms:
(-9ix + -9i2 + -6ix2 + -6i2x + (-1ix3 + -1i2x2) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + (-1ix3 + -1i2x2) + -1i2x * (1i + x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + (1i * -1i2x + x * -1i2x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0

Reorder the terms:
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + (-1i2x2 + -1i3x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + (-1i2x2 + -1i3x) + 1i3 * (1i + x) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + -1i2x2 + -1i3x + (1i * 1i3 + x * 1i3) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0

Reorder the terms:
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + -1i2x2 + -1i3x + (1i3x + 1i4) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + -1i2x2 + -1i3x + (1i3x + 1i4) + 9x * (1i + x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + (1i * 9x + x * 9x) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + (9ix + 9x2) + 6x2 * (1i + x) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9ix + 9x2 + (1i * 6x2 + x * 6x2) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9ix + 9x2 + (6ix2 + 6x3) + x3(1i + x)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9ix + 9x2 + 6ix2 + 6x3 + (1i * x3 + x * x3)) = 0
(-9ix + -9i2 + -6ix2 + -6i2x + -1ix3 + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9ix + 9x2 + 6ix2 + 6x3 + (1ix3 + x4)) = 0

Reorder the terms:
(-9ix + 9ix + -6ix2 + 6ix2 + -1ix3 + 1ix3 + -9i2 + -6i2x + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9x2 + 6x3 + x4) = 0

Combine like terms: -9ix + 9ix = 0
(0 + -6ix2 + 6ix2 + -1ix3 + 1ix3 + -9i2 + -6i2x + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9x2 + 6x3 + x4) = 0
(-6ix2 + 6ix2 + -1ix3 + 1ix3 + -9i2 + -6i2x + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9x2 + 6x3 + x4) = 0

Combine like terms: -6ix2 + 6ix2 = 0
(0 + -1ix3 + 1ix3 + -9i2 + -6i2x + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9x2 + 6x3 + x4) = 0
(-1ix3 + 1ix3 + -9i2 + -6i2x + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9x2 + 6x3 + x4) = 0

Combine like terms: -1ix3 + 1ix3 = 0
(0 + -9i2 + -6i2x + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9x2 + 6x3 + x4) = 0
(-9i2 + -6i2x + -1i2x2 + -1i2x2 + -1i3x + 1i3x + 1i4 + 9x2 + 6x3 + x4) = 0

Combine like terms: -1i2x2 + -1i2x2 = -2i2x2
(-9i2 + -6i2x + -2i2x2 + -1i3x + 1i3x + 1i4 + 9x2 + 6x3 + x4) = 0

Combine like terms: -1i3x + 1i3x = 0
(-9i2 + -6i2x + -2i2x2 + 0 + 1i4 + 9x2 + 6x3 + x4) = 0
(-9i2 + -6i2x + -2i2x2 + 1i4 + 9x2 + 6x3 + x4) = 0

Solving
-9i2 + -6i2x + -2i2x2 + 1i4 + 9x2 + 6x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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