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

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


Simplifying
(x + -2)(x + -2)(x + -1(2 + -3i))(x + -1(2 + -3i)) = 0

Reorder the terms:
(-2 + x)(x + -2)(x + -1(2 + -3i))(x + -1(2 + -3i)) = 0

Reorder the terms:
(-2 + x)(-2 + x)(x + -1(2 + -3i))(x + -1(2 + -3i)) = 0
(-2 + x)(-2 + x)(x + (2 * -1 + -3i * -1))(x + -1(2 + -3i)) = 0
(-2 + x)(-2 + x)(x + (-2 + 3i))(x + -1(2 + -3i)) = 0

Reorder the terms:
(-2 + x)(-2 + x)(-2 + 3i + x)(x + -1(2 + -3i)) = 0
(-2 + x)(-2 + x)(-2 + 3i + x)(x + (2 * -1 + -3i * -1)) = 0
(-2 + x)(-2 + x)(-2 + 3i + x)(x + (-2 + 3i)) = 0

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

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

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

Multiply (4 + -4x + x2) * (-2 + 3i + x)
(4(-2 + 3i + x) + -4x * (-2 + 3i + x) + x2(-2 + 3i + x))(-2 + 3i + x) = 0
((-2 * 4 + 3i * 4 + x * 4) + -4x * (-2 + 3i + x) + x2(-2 + 3i + x))(-2 + 3i + x) = 0
((-8 + 12i + 4x) + -4x * (-2 + 3i + x) + x2(-2 + 3i + x))(-2 + 3i + x) = 0
(-8 + 12i + 4x + (-2 * -4x + 3i * -4x + x * -4x) + x2(-2 + 3i + x))(-2 + 3i + x) = 0

Reorder the terms:
(-8 + 12i + 4x + (-12ix + 8x + -4x2) + x2(-2 + 3i + x))(-2 + 3i + x) = 0
(-8 + 12i + 4x + (-12ix + 8x + -4x2) + x2(-2 + 3i + x))(-2 + 3i + x) = 0
(-8 + 12i + 4x + -12ix + 8x + -4x2 + (-2 * x2 + 3i * x2 + x * x2))(-2 + 3i + x) = 0

Reorder the terms:
(-8 + 12i + 4x + -12ix + 8x + -4x2 + (3ix2 + -2x2 + x3))(-2 + 3i + x) = 0
(-8 + 12i + 4x + -12ix + 8x + -4x2 + (3ix2 + -2x2 + x3))(-2 + 3i + x) = 0

Reorder the terms:
(-8 + 12i + -12ix + 3ix2 + 4x + 8x + -4x2 + -2x2 + x3)(-2 + 3i + x) = 0

Combine like terms: 4x + 8x = 12x
(-8 + 12i + -12ix + 3ix2 + 12x + -4x2 + -2x2 + x3)(-2 + 3i + x) = 0

Combine like terms: -4x2 + -2x2 = -6x2
(-8 + 12i + -12ix + 3ix2 + 12x + -6x2 + x3)(-2 + 3i + x) = 0

Multiply (-8 + 12i + -12ix + 3ix2 + 12x + -6x2 + x3) * (-2 + 3i + x)
(-8(-2 + 3i + x) + 12i * (-2 + 3i + x) + -12ix * (-2 + 3i + x) + 3ix2 * (-2 + 3i + x) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
((-2 * -8 + 3i * -8 + x * -8) + 12i * (-2 + 3i + x) + -12ix * (-2 + 3i + x) + 3ix2 * (-2 + 3i + x) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
((16 + -24i + -8x) + 12i * (-2 + 3i + x) + -12ix * (-2 + 3i + x) + 3ix2 * (-2 + 3i + x) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + (-2 * 12i + 3i * 12i + x * 12i) + -12ix * (-2 + 3i + x) + 3ix2 * (-2 + 3i + x) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0

Reorder the terms:
(16 + -24i + -8x + (-24i + 12ix + 36i2) + -12ix * (-2 + 3i + x) + 3ix2 * (-2 + 3i + x) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + (-24i + 12ix + 36i2) + -12ix * (-2 + 3i + x) + 3ix2 * (-2 + 3i + x) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + (-2 * -12ix + 3i * -12ix + x * -12ix) + 3ix2 * (-2 + 3i + x) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0

Reorder the terms:
(16 + -24i + -8x + -24i + 12ix + 36i2 + (24ix + -12ix2 + -36i2x) + 3ix2 * (-2 + 3i + x) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + (24ix + -12ix2 + -36i2x) + 3ix2 * (-2 + 3i + x) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + (-2 * 3ix2 + 3i * 3ix2 + x * 3ix2) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0

Reorder the terms:
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + (-6ix2 + 3ix3 + 9i2x2) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + (-6ix2 + 3ix3 + 9i2x2) + 12x * (-2 + 3i + x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + -6ix2 + 3ix3 + 9i2x2 + (-2 * 12x + 3i * 12x + x * 12x) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0

Reorder the terms:
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + -6ix2 + 3ix3 + 9i2x2 + (36ix + -24x + 12x2) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + -6ix2 + 3ix3 + 9i2x2 + (36ix + -24x + 12x2) + -6x2 * (-2 + 3i + x) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + -6ix2 + 3ix3 + 9i2x2 + 36ix + -24x + 12x2 + (-2 * -6x2 + 3i * -6x2 + x * -6x2) + x3(-2 + 3i + x)) = 0

Reorder the terms:
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + -6ix2 + 3ix3 + 9i2x2 + 36ix + -24x + 12x2 + (-18ix2 + 12x2 + -6x3) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + -6ix2 + 3ix3 + 9i2x2 + 36ix + -24x + 12x2 + (-18ix2 + 12x2 + -6x3) + x3(-2 + 3i + x)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + -6ix2 + 3ix3 + 9i2x2 + 36ix + -24x + 12x2 + -18ix2 + 12x2 + -6x3 + (-2 * x3 + 3i * x3 + x * x3)) = 0

Reorder the terms:
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + -6ix2 + 3ix3 + 9i2x2 + 36ix + -24x + 12x2 + -18ix2 + 12x2 + -6x3 + (3ix3 + -2x3 + x4)) = 0
(16 + -24i + -8x + -24i + 12ix + 36i2 + 24ix + -12ix2 + -36i2x + -6ix2 + 3ix3 + 9i2x2 + 36ix + -24x + 12x2 + -18ix2 + 12x2 + -6x3 + (3ix3 + -2x3 + x4)) = 0

Reorder the terms:
(16 + -24i + -24i + 12ix + 24ix + 36ix + -12ix2 + -6ix2 + -18ix2 + 3ix3 + 3ix3 + 36i2 + -36i2x + 9i2x2 + -8x + -24x + 12x2 + 12x2 + -6x3 + -2x3 + x4) = 0

Combine like terms: -24i + -24i = -48i
(16 + -48i + 12ix + 24ix + 36ix + -12ix2 + -6ix2 + -18ix2 + 3ix3 + 3ix3 + 36i2 + -36i2x + 9i2x2 + -8x + -24x + 12x2 + 12x2 + -6x3 + -2x3 + x4) = 0

Combine like terms: 12ix + 24ix = 36ix
(16 + -48i + 36ix + 36ix + -12ix2 + -6ix2 + -18ix2 + 3ix3 + 3ix3 + 36i2 + -36i2x + 9i2x2 + -8x + -24x + 12x2 + 12x2 + -6x3 + -2x3 + x4) = 0

Combine like terms: 36ix + 36ix = 72ix
(16 + -48i + 72ix + -12ix2 + -6ix2 + -18ix2 + 3ix3 + 3ix3 + 36i2 + -36i2x + 9i2x2 + -8x + -24x + 12x2 + 12x2 + -6x3 + -2x3 + x4) = 0

Combine like terms: -12ix2 + -6ix2 = -18ix2
(16 + -48i + 72ix + -18ix2 + -18ix2 + 3ix3 + 3ix3 + 36i2 + -36i2x + 9i2x2 + -8x + -24x + 12x2 + 12x2 + -6x3 + -2x3 + x4) = 0

Combine like terms: -18ix2 + -18ix2 = -36ix2
(16 + -48i + 72ix + -36ix2 + 3ix3 + 3ix3 + 36i2 + -36i2x + 9i2x2 + -8x + -24x + 12x2 + 12x2 + -6x3 + -2x3 + x4) = 0

Combine like terms: 3ix3 + 3ix3 = 6ix3
(16 + -48i + 72ix + -36ix2 + 6ix3 + 36i2 + -36i2x + 9i2x2 + -8x + -24x + 12x2 + 12x2 + -6x3 + -2x3 + x4) = 0

Combine like terms: -8x + -24x = -32x
(16 + -48i + 72ix + -36ix2 + 6ix3 + 36i2 + -36i2x + 9i2x2 + -32x + 12x2 + 12x2 + -6x3 + -2x3 + x4) = 0

Combine like terms: 12x2 + 12x2 = 24x2
(16 + -48i + 72ix + -36ix2 + 6ix3 + 36i2 + -36i2x + 9i2x2 + -32x + 24x2 + -6x3 + -2x3 + x4) = 0

Combine like terms: -6x3 + -2x3 = -8x3
(16 + -48i + 72ix + -36ix2 + 6ix3 + 36i2 + -36i2x + 9i2x2 + -32x + 24x2 + -8x3 + x4) = 0

Solving
16 + -48i + 72ix + -36ix2 + 6ix3 + 36i2 + -36i2x + 9i2x2 + -32x + 24x2 + -8x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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