(x+3i)(x-3i)(x+(1-i))(x+(1+i))(x+6)=0

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Solution for (x+3i)(x-3i)(x+(1-i))(x+(1+i))(x+6)=0 equation: 


Simplifying
(x + 3i)(x + -3i)(x + (1 + -1i))(x + (1 + i))(x + 6) = 0

Reorder the terms:
(3i + x)(x + -3i)(x + (1 + -1i))(x + (1 + i))(x + 6) = 0

Reorder the terms:
(3i + x)(-3i + x)(x + (1 + -1i))(x + (1 + i))(x + 6) = 0

Remove parenthesis around (1 + -1i)
(3i + x)(-3i + x)(x + 1 + -1i)(x + (1 + i))(x + 6) = 0

Reorder the terms:
(3i + x)(-3i + x)(1 + -1i + x)(x + (1 + i))(x + 6) = 0

Remove parenthesis around (1 + i)
(3i + x)(-3i + x)(1 + -1i + x)(x + 1 + i)(x + 6) = 0

Reorder the terms:
(3i + x)(-3i + x)(1 + -1i + x)(1 + i + x)(x + 6) = 0

Reorder the terms:
(3i + x)(-3i + x)(1 + -1i + x)(1 + i + x)(6 + x) = 0

Multiply (3i + x) * (-3i + x)
(3i * (-3i + x) + x(-3i + x))(1 + -1i + x)(1 + i + x)(6 + x) = 0
((-3i * 3i + x * 3i) + x(-3i + x))(1 + -1i + x)(1 + i + x)(6 + x) = 0

Reorder the terms:
((3ix + -9i2) + x(-3i + x))(1 + -1i + x)(1 + i + x)(6 + x) = 0
((3ix + -9i2) + x(-3i + x))(1 + -1i + x)(1 + i + x)(6 + x) = 0
(3ix + -9i2 + (-3i * x + x * x))(1 + -1i + x)(1 + i + x)(6 + x) = 0
(3ix + -9i2 + (-3ix + x2))(1 + -1i + x)(1 + i + x)(6 + x) = 0

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

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

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

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

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

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

Multiply (-1ix2 + -9i2 + -9i2x + 9i3 + 1x2 + x3) * (1 + i + x)
(-1ix2 * (1 + i + x) + -9i2 * (1 + i + x) + -9i2x * (1 + i + x) + 9i3 * (1 + i + x) + 1x2 * (1 + i + x) + x3(1 + i + x))(6 + x) = 0
((1 * -1ix2 + i * -1ix2 + x * -1ix2) + -9i2 * (1 + i + x) + -9i2x * (1 + i + x) + 9i3 * (1 + i + x) + 1x2 * (1 + i + x) + x3(1 + i + x))(6 + x) = 0

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

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

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

Reorder the terms:
(-1ix2 + -1ix3 + -1i2x2 + -9i2 + -9i2x + -9i3 + -9i2x + -9i2x2 + -9i3x + (9i3 + 9i3x + 9i4) + 1x2 * (1 + i + x) + x3(1 + i + x))(6 + x) = 0
(-1ix2 + -1ix3 + -1i2x2 + -9i2 + -9i2x + -9i3 + -9i2x + -9i2x2 + -9i3x + (9i3 + 9i3x + 9i4) + 1x2 * (1 + i + x) + x3(1 + i + x))(6 + x) = 0
(-1ix2 + -1ix3 + -1i2x2 + -9i2 + -9i2x + -9i3 + -9i2x + -9i2x2 + -9i3x + 9i3 + 9i3x + 9i4 + (1 * 1x2 + i * 1x2 + x * 1x2) + x3(1 + i + x))(6 + x) = 0

Reorder the terms:
(-1ix2 + -1ix3 + -1i2x2 + -9i2 + -9i2x + -9i3 + -9i2x + -9i2x2 + -9i3x + 9i3 + 9i3x + 9i4 + (1ix2 + 1x2 + 1x3) + x3(1 + i + x))(6 + x) = 0
(-1ix2 + -1ix3 + -1i2x2 + -9i2 + -9i2x + -9i3 + -9i2x + -9i2x2 + -9i3x + 9i3 + 9i3x + 9i4 + (1ix2 + 1x2 + 1x3) + x3(1 + i + x))(6 + x) = 0
(-1ix2 + -1ix3 + -1i2x2 + -9i2 + -9i2x + -9i3 + -9i2x + -9i2x2 + -9i3x + 9i3 + 9i3x + 9i4 + 1ix2 + 1x2 + 1x3 + (1 * x3 + i * x3 + x * x3))(6 + x) = 0

Reorder the terms:
(-1ix2 + -1ix3 + -1i2x2 + -9i2 + -9i2x + -9i3 + -9i2x + -9i2x2 + -9i3x + 9i3 + 9i3x + 9i4 + 1ix2 + 1x2 + 1x3 + (ix3 + 1x3 + x4))(6 + x) = 0
(-1ix2 + -1ix3 + -1i2x2 + -9i2 + -9i2x + -9i3 + -9i2x + -9i2x2 + -9i3x + 9i3 + 9i3x + 9i4 + 1ix2 + 1x2 + 1x3 + (ix3 + 1x3 + x4))(6 + x) = 0

Reorder the terms:
(-1ix2 + 1ix2 + -1ix3 + ix3 + -9i2 + -9i2x + -9i2x + -1i2x2 + -9i2x2 + -9i3 + 9i3 + -9i3x + 9i3x + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0

Combine like terms: -1ix2 + 1ix2 = 0
(0 + -1ix3 + ix3 + -9i2 + -9i2x + -9i2x + -1i2x2 + -9i2x2 + -9i3 + 9i3 + -9i3x + 9i3x + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0
(-1ix3 + ix3 + -9i2 + -9i2x + -9i2x + -1i2x2 + -9i2x2 + -9i3 + 9i3 + -9i3x + 9i3x + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0

Combine like terms: -1ix3 + ix3 = 0
(0 + -9i2 + -9i2x + -9i2x + -1i2x2 + -9i2x2 + -9i3 + 9i3 + -9i3x + 9i3x + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0
(-9i2 + -9i2x + -9i2x + -1i2x2 + -9i2x2 + -9i3 + 9i3 + -9i3x + 9i3x + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0

Combine like terms: -9i2x + -9i2x = -18i2x
(-9i2 + -18i2x + -1i2x2 + -9i2x2 + -9i3 + 9i3 + -9i3x + 9i3x + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0

Combine like terms: -1i2x2 + -9i2x2 = -10i2x2
(-9i2 + -18i2x + -10i2x2 + -9i3 + 9i3 + -9i3x + 9i3x + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0

Combine like terms: -9i3 + 9i3 = 0
(-9i2 + -18i2x + -10i2x2 + 0 + -9i3x + 9i3x + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0
(-9i2 + -18i2x + -10i2x2 + -9i3x + 9i3x + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0

Combine like terms: -9i3x + 9i3x = 0
(-9i2 + -18i2x + -10i2x2 + 0 + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0
(-9i2 + -18i2x + -10i2x2 + 9i4 + 1x2 + 1x3 + 1x3 + x4)(6 + x) = 0

Combine like terms: 1x3 + 1x3 = 2x3
(-9i2 + -18i2x + -10i2x2 + 9i4 + 1x2 + 2x3 + x4)(6 + x) = 0

Multiply (-9i2 + -18i2x + -10i2x2 + 9i4 + 1x2 + 2x3 + x4) * (6 + x)
(-9i2 * (6 + x) + -18i2x * (6 + x) + -10i2x2 * (6 + x) + 9i4 * (6 + x) + 1x2 * (6 + x) + 2x3 * (6 + x) + x4(6 + x)) = 0
((6 * -9i2 + x * -9i2) + -18i2x * (6 + x) + -10i2x2 * (6 + x) + 9i4 * (6 + x) + 1x2 * (6 + x) + 2x3 * (6 + x) + x4(6 + x)) = 0
((-54i2 + -9i2x) + -18i2x * (6 + x) + -10i2x2 * (6 + x) + 9i4 * (6 + x) + 1x2 * (6 + x) + 2x3 * (6 + x) + x4(6 + x)) = 0
(-54i2 + -9i2x + (6 * -18i2x + x * -18i2x) + -10i2x2 * (6 + x) + 9i4 * (6 + x) + 1x2 * (6 + x) + 2x3 * (6 + x) + x4(6 + x)) = 0
(-54i2 + -9i2x + (-108i2x + -18i2x2) + -10i2x2 * (6 + x) + 9i4 * (6 + x) + 1x2 * (6 + x) + 2x3 * (6 + x) + x4(6 + x)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + (6 * -10i2x2 + x * -10i2x2) + 9i4 * (6 + x) + 1x2 * (6 + x) + 2x3 * (6 + x) + x4(6 + x)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + (-60i2x2 + -10i2x3) + 9i4 * (6 + x) + 1x2 * (6 + x) + 2x3 * (6 + x) + x4(6 + x)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + -60i2x2 + -10i2x3 + (6 * 9i4 + x * 9i4) + 1x2 * (6 + x) + 2x3 * (6 + x) + x4(6 + x)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + -60i2x2 + -10i2x3 + (54i4 + 9i4x) + 1x2 * (6 + x) + 2x3 * (6 + x) + x4(6 + x)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + -60i2x2 + -10i2x3 + 54i4 + 9i4x + (6 * 1x2 + x * 1x2) + 2x3 * (6 + x) + x4(6 + x)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + -60i2x2 + -10i2x3 + 54i4 + 9i4x + (6x2 + 1x3) + 2x3 * (6 + x) + x4(6 + x)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + -60i2x2 + -10i2x3 + 54i4 + 9i4x + 6x2 + 1x3 + (6 * 2x3 + x * 2x3) + x4(6 + x)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + -60i2x2 + -10i2x3 + 54i4 + 9i4x + 6x2 + 1x3 + (12x3 + 2x4) + x4(6 + x)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + -60i2x2 + -10i2x3 + 54i4 + 9i4x + 6x2 + 1x3 + 12x3 + 2x4 + (6 * x4 + x * x4)) = 0
(-54i2 + -9i2x + -108i2x + -18i2x2 + -60i2x2 + -10i2x3 + 54i4 + 9i4x + 6x2 + 1x3 + 12x3 + 2x4 + (6x4 + x5)) = 0

Combine like terms: -9i2x + -108i2x = -117i2x
(-54i2 + -117i2x + -18i2x2 + -60i2x2 + -10i2x3 + 54i4 + 9i4x + 6x2 + 1x3 + 12x3 + 2x4 + 6x4 + x5) = 0

Combine like terms: -18i2x2 + -60i2x2 = -78i2x2
(-54i2 + -117i2x + -78i2x2 + -10i2x3 + 54i4 + 9i4x + 6x2 + 1x3 + 12x3 + 2x4 + 6x4 + x5) = 0

Combine like terms: 1x3 + 12x3 = 13x3
(-54i2 + -117i2x + -78i2x2 + -10i2x3 + 54i4 + 9i4x + 6x2 + 13x3 + 2x4 + 6x4 + x5) = 0

Combine like terms: 2x4 + 6x4 = 8x4
(-54i2 + -117i2x + -78i2x2 + -10i2x3 + 54i4 + 9i4x + 6x2 + 13x3 + 8x4 + x5) = 0

Solving
-54i2 + -117i2x + -78i2x2 + -10i2x3 + 54i4 + 9i4x + 6x2 + 13x3 + 8x4 + x5 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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