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

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


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

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

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

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

Multiply (-3 + x) * (-2 + 1i + x)
(-3(-2 + 1i + x) + x(-2 + 1i + x))(-2 + 1i + x) = 0
((-2 * -3 + 1i * -3 + x * -3) + x(-2 + 1i + x))(-2 + 1i + x) = 0
((6 + -3i + -3x) + x(-2 + 1i + x))(-2 + 1i + x) = 0
(6 + -3i + -3x + (-2 * x + 1i * x + x * x))(-2 + 1i + x) = 0

Reorder the terms:
(6 + -3i + -3x + (1ix + -2x + x2))(-2 + 1i + x) = 0
(6 + -3i + -3x + (1ix + -2x + x2))(-2 + 1i + x) = 0

Reorder the terms:
(6 + -3i + 1ix + -3x + -2x + x2)(-2 + 1i + x) = 0

Combine like terms: -3x + -2x = -5x
(6 + -3i + 1ix + -5x + x2)(-2 + 1i + x) = 0

Multiply (6 + -3i + 1ix + -5x + x2) * (-2 + 1i + x)
(6(-2 + 1i + x) + -3i * (-2 + 1i + x) + 1ix * (-2 + 1i + x) + -5x * (-2 + 1i + x) + x2(-2 + 1i + x)) = 0
((-2 * 6 + 1i * 6 + x * 6) + -3i * (-2 + 1i + x) + 1ix * (-2 + 1i + x) + -5x * (-2 + 1i + x) + x2(-2 + 1i + x)) = 0
((-12 + 6i + 6x) + -3i * (-2 + 1i + x) + 1ix * (-2 + 1i + x) + -5x * (-2 + 1i + x) + x2(-2 + 1i + x)) = 0
(-12 + 6i + 6x + (-2 * -3i + 1i * -3i + x * -3i) + 1ix * (-2 + 1i + x) + -5x * (-2 + 1i + x) + x2(-2 + 1i + x)) = 0

Reorder the terms:
(-12 + 6i + 6x + (6i + -3ix + -3i2) + 1ix * (-2 + 1i + x) + -5x * (-2 + 1i + x) + x2(-2 + 1i + x)) = 0
(-12 + 6i + 6x + (6i + -3ix + -3i2) + 1ix * (-2 + 1i + x) + -5x * (-2 + 1i + x) + x2(-2 + 1i + x)) = 0
(-12 + 6i + 6x + 6i + -3ix + -3i2 + (-2 * 1ix + 1i * 1ix + x * 1ix) + -5x * (-2 + 1i + x) + x2(-2 + 1i + x)) = 0

Reorder the terms:
(-12 + 6i + 6x + 6i + -3ix + -3i2 + (-2ix + 1ix2 + 1i2x) + -5x * (-2 + 1i + x) + x2(-2 + 1i + x)) = 0
(-12 + 6i + 6x + 6i + -3ix + -3i2 + (-2ix + 1ix2 + 1i2x) + -5x * (-2 + 1i + x) + x2(-2 + 1i + x)) = 0
(-12 + 6i + 6x + 6i + -3ix + -3i2 + -2ix + 1ix2 + 1i2x + (-2 * -5x + 1i * -5x + x * -5x) + x2(-2 + 1i + x)) = 0

Reorder the terms:
(-12 + 6i + 6x + 6i + -3ix + -3i2 + -2ix + 1ix2 + 1i2x + (-5ix + 10x + -5x2) + x2(-2 + 1i + x)) = 0
(-12 + 6i + 6x + 6i + -3ix + -3i2 + -2ix + 1ix2 + 1i2x + (-5ix + 10x + -5x2) + x2(-2 + 1i + x)) = 0
(-12 + 6i + 6x + 6i + -3ix + -3i2 + -2ix + 1ix2 + 1i2x + -5ix + 10x + -5x2 + (-2 * x2 + 1i * x2 + x * x2)) = 0

Reorder the terms:
(-12 + 6i + 6x + 6i + -3ix + -3i2 + -2ix + 1ix2 + 1i2x + -5ix + 10x + -5x2 + (1ix2 + -2x2 + x3)) = 0
(-12 + 6i + 6x + 6i + -3ix + -3i2 + -2ix + 1ix2 + 1i2x + -5ix + 10x + -5x2 + (1ix2 + -2x2 + x3)) = 0

Reorder the terms:
(-12 + 6i + 6i + -3ix + -2ix + -5ix + 1ix2 + 1ix2 + -3i2 + 1i2x + 6x + 10x + -5x2 + -2x2 + x3) = 0

Combine like terms: 6i + 6i = 12i
(-12 + 12i + -3ix + -2ix + -5ix + 1ix2 + 1ix2 + -3i2 + 1i2x + 6x + 10x + -5x2 + -2x2 + x3) = 0

Combine like terms: -3ix + -2ix = -5ix
(-12 + 12i + -5ix + -5ix + 1ix2 + 1ix2 + -3i2 + 1i2x + 6x + 10x + -5x2 + -2x2 + x3) = 0

Combine like terms: -5ix + -5ix = -10ix
(-12 + 12i + -10ix + 1ix2 + 1ix2 + -3i2 + 1i2x + 6x + 10x + -5x2 + -2x2 + x3) = 0

Combine like terms: 1ix2 + 1ix2 = 2ix2
(-12 + 12i + -10ix + 2ix2 + -3i2 + 1i2x + 6x + 10x + -5x2 + -2x2 + x3) = 0

Combine like terms: 6x + 10x = 16x
(-12 + 12i + -10ix + 2ix2 + -3i2 + 1i2x + 16x + -5x2 + -2x2 + x3) = 0

Combine like terms: -5x2 + -2x2 = -7x2
(-12 + 12i + -10ix + 2ix2 + -3i2 + 1i2x + 16x + -7x2 + x3) = 0

Solving
-12 + 12i + -10ix + 2ix2 + -3i2 + 1i2x + 16x + -7x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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