(x-3)(x+2)(x+4+2i)(x-4-2i)=

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Solution for (x-3)(x+2)(x+4+2i)(x-4-2i)= equation: 


Simplifying
(x + -3)(x + 2)(x + 4 + 2i)(x + -4 + -2i) = 0

Reorder the terms:
(-3 + x)(x + 2)(x + 4 + 2i)(x + -4 + -2i) = 0

Reorder the terms:
(-3 + x)(2 + x)(x + 4 + 2i)(x + -4 + -2i) = 0

Reorder the terms:
(-3 + x)(2 + x)(4 + 2i + x)(x + -4 + -2i) = 0

Reorder the terms:
(-3 + x)(2 + x)(4 + 2i + x)(-4 + -2i + x) = 0

Multiply (-3 + x) * (2 + x)
(-3(2 + x) + x(2 + x))(4 + 2i + x)(-4 + -2i + x) = 0
((2 * -3 + x * -3) + x(2 + x))(4 + 2i + x)(-4 + -2i + x) = 0
((-6 + -3x) + x(2 + x))(4 + 2i + x)(-4 + -2i + x) = 0
(-6 + -3x + (2 * x + x * x))(4 + 2i + x)(-4 + -2i + x) = 0
(-6 + -3x + (2x + x2))(4 + 2i + x)(-4 + -2i + x) = 0

Combine like terms: -3x + 2x = -1x
(-6 + -1x + x2)(4 + 2i + x)(-4 + -2i + x) = 0

Multiply (-6 + -1x + x2) * (4 + 2i + x)
(-6(4 + 2i + x) + -1x * (4 + 2i + x) + x2(4 + 2i + x))(-4 + -2i + x) = 0
((4 * -6 + 2i * -6 + x * -6) + -1x * (4 + 2i + x) + x2(4 + 2i + x))(-4 + -2i + x) = 0
((-24 + -12i + -6x) + -1x * (4 + 2i + x) + x2(4 + 2i + x))(-4 + -2i + x) = 0
(-24 + -12i + -6x + (4 * -1x + 2i * -1x + x * -1x) + x2(4 + 2i + x))(-4 + -2i + x) = 0

Reorder the terms:
(-24 + -12i + -6x + (-2ix + -4x + -1x2) + x2(4 + 2i + x))(-4 + -2i + x) = 0
(-24 + -12i + -6x + (-2ix + -4x + -1x2) + x2(4 + 2i + x))(-4 + -2i + x) = 0
(-24 + -12i + -6x + -2ix + -4x + -1x2 + (4 * x2 + 2i * x2 + x * x2))(-4 + -2i + x) = 0

Reorder the terms:
(-24 + -12i + -6x + -2ix + -4x + -1x2 + (2ix2 + 4x2 + x3))(-4 + -2i + x) = 0
(-24 + -12i + -6x + -2ix + -4x + -1x2 + (2ix2 + 4x2 + x3))(-4 + -2i + x) = 0

Reorder the terms:
(-24 + -12i + -2ix + 2ix2 + -6x + -4x + -1x2 + 4x2 + x3)(-4 + -2i + x) = 0

Combine like terms: -6x + -4x = -10x
(-24 + -12i + -2ix + 2ix2 + -10x + -1x2 + 4x2 + x3)(-4 + -2i + x) = 0

Combine like terms: -1x2 + 4x2 = 3x2
(-24 + -12i + -2ix + 2ix2 + -10x + 3x2 + x3)(-4 + -2i + x) = 0

Multiply (-24 + -12i + -2ix + 2ix2 + -10x + 3x2 + x3) * (-4 + -2i + x)
(-24(-4 + -2i + x) + -12i * (-4 + -2i + x) + -2ix * (-4 + -2i + x) + 2ix2 * (-4 + -2i + x) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
((-4 * -24 + -2i * -24 + x * -24) + -12i * (-4 + -2i + x) + -2ix * (-4 + -2i + x) + 2ix2 * (-4 + -2i + x) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
((96 + 48i + -24x) + -12i * (-4 + -2i + x) + -2ix * (-4 + -2i + x) + 2ix2 * (-4 + -2i + x) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + (-4 * -12i + -2i * -12i + x * -12i) + -2ix * (-4 + -2i + x) + 2ix2 * (-4 + -2i + x) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0

Reorder the terms:
(96 + 48i + -24x + (48i + -12ix + 24i2) + -2ix * (-4 + -2i + x) + 2ix2 * (-4 + -2i + x) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + (48i + -12ix + 24i2) + -2ix * (-4 + -2i + x) + 2ix2 * (-4 + -2i + x) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + (-4 * -2ix + -2i * -2ix + x * -2ix) + 2ix2 * (-4 + -2i + x) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0

Reorder the terms:
(96 + 48i + -24x + 48i + -12ix + 24i2 + (8ix + -2ix2 + 4i2x) + 2ix2 * (-4 + -2i + x) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + (8ix + -2ix2 + 4i2x) + 2ix2 * (-4 + -2i + x) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + (-4 * 2ix2 + -2i * 2ix2 + x * 2ix2) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0

Reorder the terms:
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + (-8ix2 + 2ix3 + -4i2x2) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + (-8ix2 + 2ix3 + -4i2x2) + -10x * (-4 + -2i + x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + -8ix2 + 2ix3 + -4i2x2 + (-4 * -10x + -2i * -10x + x * -10x) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0

Reorder the terms:
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + -8ix2 + 2ix3 + -4i2x2 + (20ix + 40x + -10x2) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + -8ix2 + 2ix3 + -4i2x2 + (20ix + 40x + -10x2) + 3x2 * (-4 + -2i + x) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + -8ix2 + 2ix3 + -4i2x2 + 20ix + 40x + -10x2 + (-4 * 3x2 + -2i * 3x2 + x * 3x2) + x3(-4 + -2i + x)) = 0

Reorder the terms:
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + -8ix2 + 2ix3 + -4i2x2 + 20ix + 40x + -10x2 + (-6ix2 + -12x2 + 3x3) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + -8ix2 + 2ix3 + -4i2x2 + 20ix + 40x + -10x2 + (-6ix2 + -12x2 + 3x3) + x3(-4 + -2i + x)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + -8ix2 + 2ix3 + -4i2x2 + 20ix + 40x + -10x2 + -6ix2 + -12x2 + 3x3 + (-4 * x3 + -2i * x3 + x * x3)) = 0

Reorder the terms:
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + -8ix2 + 2ix3 + -4i2x2 + 20ix + 40x + -10x2 + -6ix2 + -12x2 + 3x3 + (-2ix3 + -4x3 + x4)) = 0
(96 + 48i + -24x + 48i + -12ix + 24i2 + 8ix + -2ix2 + 4i2x + -8ix2 + 2ix3 + -4i2x2 + 20ix + 40x + -10x2 + -6ix2 + -12x2 + 3x3 + (-2ix3 + -4x3 + x4)) = 0

Reorder the terms:
(96 + 48i + 48i + -12ix + 8ix + 20ix + -2ix2 + -8ix2 + -6ix2 + 2ix3 + -2ix3 + 24i2 + 4i2x + -4i2x2 + -24x + 40x + -10x2 + -12x2 + 3x3 + -4x3 + x4) = 0

Combine like terms: 48i + 48i = 96i
(96 + 96i + -12ix + 8ix + 20ix + -2ix2 + -8ix2 + -6ix2 + 2ix3 + -2ix3 + 24i2 + 4i2x + -4i2x2 + -24x + 40x + -10x2 + -12x2 + 3x3 + -4x3 + x4) = 0

Combine like terms: -12ix + 8ix = -4ix
(96 + 96i + -4ix + 20ix + -2ix2 + -8ix2 + -6ix2 + 2ix3 + -2ix3 + 24i2 + 4i2x + -4i2x2 + -24x + 40x + -10x2 + -12x2 + 3x3 + -4x3 + x4) = 0

Combine like terms: -4ix + 20ix = 16ix
(96 + 96i + 16ix + -2ix2 + -8ix2 + -6ix2 + 2ix3 + -2ix3 + 24i2 + 4i2x + -4i2x2 + -24x + 40x + -10x2 + -12x2 + 3x3 + -4x3 + x4) = 0

Combine like terms: -2ix2 + -8ix2 = -10ix2
(96 + 96i + 16ix + -10ix2 + -6ix2 + 2ix3 + -2ix3 + 24i2 + 4i2x + -4i2x2 + -24x + 40x + -10x2 + -12x2 + 3x3 + -4x3 + x4) = 0

Combine like terms: -10ix2 + -6ix2 = -16ix2
(96 + 96i + 16ix + -16ix2 + 2ix3 + -2ix3 + 24i2 + 4i2x + -4i2x2 + -24x + 40x + -10x2 + -12x2 + 3x3 + -4x3 + x4) = 0

Combine like terms: 2ix3 + -2ix3 = 0
(96 + 96i + 16ix + -16ix2 + 0 + 24i2 + 4i2x + -4i2x2 + -24x + 40x + -10x2 + -12x2 + 3x3 + -4x3 + x4) = 0
(96 + 96i + 16ix + -16ix2 + 24i2 + 4i2x + -4i2x2 + -24x + 40x + -10x2 + -12x2 + 3x3 + -4x3 + x4) = 0

Combine like terms: -24x + 40x = 16x
(96 + 96i + 16ix + -16ix2 + 24i2 + 4i2x + -4i2x2 + 16x + -10x2 + -12x2 + 3x3 + -4x3 + x4) = 0

Combine like terms: -10x2 + -12x2 = -22x2
(96 + 96i + 16ix + -16ix2 + 24i2 + 4i2x + -4i2x2 + 16x + -22x2 + 3x3 + -4x3 + x4) = 0

Combine like terms: 3x3 + -4x3 = -1x3
(96 + 96i + 16ix + -16ix2 + 24i2 + 4i2x + -4i2x2 + 16x + -22x2 + -1x3 + x4) = 0

Solving
96 + 96i + 16ix + -16ix2 + 24i2 + 4i2x + -4i2x2 + 16x + -22x2 + -1x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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