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

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Solution for (x-2)(x+4-3i)(x-4+3i)=0 equation: 


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

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

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

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

Multiply (-2 + x) * (4 + -3i + x)
(-2(4 + -3i + x) + x(4 + -3i + x))(-4 + 3i + x) = 0
((4 * -2 + -3i * -2 + x * -2) + x(4 + -3i + x))(-4 + 3i + x) = 0
((-8 + 6i + -2x) + x(4 + -3i + x))(-4 + 3i + x) = 0
(-8 + 6i + -2x + (4 * x + -3i * x + x * x))(-4 + 3i + x) = 0

Reorder the terms:
(-8 + 6i + -2x + (-3ix + 4x + x2))(-4 + 3i + x) = 0
(-8 + 6i + -2x + (-3ix + 4x + x2))(-4 + 3i + x) = 0

Reorder the terms:
(-8 + 6i + -3ix + -2x + 4x + x2)(-4 + 3i + x) = 0

Combine like terms: -2x + 4x = 2x
(-8 + 6i + -3ix + 2x + x2)(-4 + 3i + x) = 0

Multiply (-8 + 6i + -3ix + 2x + x2) * (-4 + 3i + x)
(-8(-4 + 3i + x) + 6i * (-4 + 3i + x) + -3ix * (-4 + 3i + x) + 2x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
((-4 * -8 + 3i * -8 + x * -8) + 6i * (-4 + 3i + x) + -3ix * (-4 + 3i + x) + 2x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
((32 + -24i + -8x) + 6i * (-4 + 3i + x) + -3ix * (-4 + 3i + x) + 2x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(32 + -24i + -8x + (-4 * 6i + 3i * 6i + x * 6i) + -3ix * (-4 + 3i + x) + 2x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0

Reorder the terms:
(32 + -24i + -8x + (-24i + 6ix + 18i2) + -3ix * (-4 + 3i + x) + 2x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(32 + -24i + -8x + (-24i + 6ix + 18i2) + -3ix * (-4 + 3i + x) + 2x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(32 + -24i + -8x + -24i + 6ix + 18i2 + (-4 * -3ix + 3i * -3ix + x * -3ix) + 2x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0

Reorder the terms:
(32 + -24i + -8x + -24i + 6ix + 18i2 + (12ix + -3ix2 + -9i2x) + 2x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(32 + -24i + -8x + -24i + 6ix + 18i2 + (12ix + -3ix2 + -9i2x) + 2x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(32 + -24i + -8x + -24i + 6ix + 18i2 + 12ix + -3ix2 + -9i2x + (-4 * 2x + 3i * 2x + x * 2x) + x2(-4 + 3i + x)) = 0

Reorder the terms:
(32 + -24i + -8x + -24i + 6ix + 18i2 + 12ix + -3ix2 + -9i2x + (6ix + -8x + 2x2) + x2(-4 + 3i + x)) = 0
(32 + -24i + -8x + -24i + 6ix + 18i2 + 12ix + -3ix2 + -9i2x + (6ix + -8x + 2x2) + x2(-4 + 3i + x)) = 0
(32 + -24i + -8x + -24i + 6ix + 18i2 + 12ix + -3ix2 + -9i2x + 6ix + -8x + 2x2 + (-4 * x2 + 3i * x2 + x * x2)) = 0

Reorder the terms:
(32 + -24i + -8x + -24i + 6ix + 18i2 + 12ix + -3ix2 + -9i2x + 6ix + -8x + 2x2 + (3ix2 + -4x2 + x3)) = 0
(32 + -24i + -8x + -24i + 6ix + 18i2 + 12ix + -3ix2 + -9i2x + 6ix + -8x + 2x2 + (3ix2 + -4x2 + x3)) = 0

Reorder the terms:
(32 + -24i + -24i + 6ix + 12ix + 6ix + -3ix2 + 3ix2 + 18i2 + -9i2x + -8x + -8x + 2x2 + -4x2 + x3) = 0

Combine like terms: -24i + -24i = -48i
(32 + -48i + 6ix + 12ix + 6ix + -3ix2 + 3ix2 + 18i2 + -9i2x + -8x + -8x + 2x2 + -4x2 + x3) = 0

Combine like terms: 6ix + 12ix = 18ix
(32 + -48i + 18ix + 6ix + -3ix2 + 3ix2 + 18i2 + -9i2x + -8x + -8x + 2x2 + -4x2 + x3) = 0

Combine like terms: 18ix + 6ix = 24ix
(32 + -48i + 24ix + -3ix2 + 3ix2 + 18i2 + -9i2x + -8x + -8x + 2x2 + -4x2 + x3) = 0

Combine like terms: -3ix2 + 3ix2 = 0
(32 + -48i + 24ix + 0 + 18i2 + -9i2x + -8x + -8x + 2x2 + -4x2 + x3) = 0
(32 + -48i + 24ix + 18i2 + -9i2x + -8x + -8x + 2x2 + -4x2 + x3) = 0

Combine like terms: -8x + -8x = -16x
(32 + -48i + 24ix + 18i2 + -9i2x + -16x + 2x2 + -4x2 + x3) = 0

Combine like terms: 2x2 + -4x2 = -2x2
(32 + -48i + 24ix + 18i2 + -9i2x + -16x + -2x2 + x3) = 0

Solving
32 + -48i + 24ix + 18i2 + -9i2x + -16x + -2x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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