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

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


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

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

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

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

Multiply (-3 + 1i + x) * (-3 + -1i + x)
(-3(-3 + -1i + x) + 1i * (-3 + -1i + x) + x(-3 + -1i + x))(-3 + x) = 0
((-3 * -3 + -1i * -3 + x * -3) + 1i * (-3 + -1i + x) + x(-3 + -1i + x))(-3 + x) = 0
((9 + 3i + -3x) + 1i * (-3 + -1i + x) + x(-3 + -1i + x))(-3 + x) = 0
(9 + 3i + -3x + (-3 * 1i + -1i * 1i + x * 1i) + x(-3 + -1i + x))(-3 + x) = 0

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

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

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

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

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

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

Multiply (9 + -1i2 + -6x + x2) * (-3 + x)
(9(-3 + x) + -1i2 * (-3 + x) + -6x * (-3 + x) + x2(-3 + x)) = 0
((-3 * 9 + x * 9) + -1i2 * (-3 + x) + -6x * (-3 + x) + x2(-3 + x)) = 0
((-27 + 9x) + -1i2 * (-3 + x) + -6x * (-3 + x) + x2(-3 + x)) = 0
(-27 + 9x + (-3 * -1i2 + x * -1i2) + -6x * (-3 + x) + x2(-3 + x)) = 0
(-27 + 9x + (3i2 + -1i2x) + -6x * (-3 + x) + x2(-3 + x)) = 0
(-27 + 9x + 3i2 + -1i2x + (-3 * -6x + x * -6x) + x2(-3 + x)) = 0
(-27 + 9x + 3i2 + -1i2x + (18x + -6x2) + x2(-3 + x)) = 0
(-27 + 9x + 3i2 + -1i2x + 18x + -6x2 + (-3 * x2 + x * x2)) = 0
(-27 + 9x + 3i2 + -1i2x + 18x + -6x2 + (-3x2 + x3)) = 0

Reorder the terms:
(-27 + 3i2 + -1i2x + 9x + 18x + -6x2 + -3x2 + x3) = 0

Combine like terms: 9x + 18x = 27x
(-27 + 3i2 + -1i2x + 27x + -6x2 + -3x2 + x3) = 0

Combine like terms: -6x2 + -3x2 = -9x2
(-27 + 3i2 + -1i2x + 27x + -9x2 + x3) = 0

Solving
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '27' to each side of the equation.
-27 + 3i2 + -1i2x + 27x + -9x2 + 27 + x3 = 0 + 27

Reorder the terms:
-27 + 27 + 3i2 + -1i2x + 27x + -9x2 + x3 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 3i2 + -1i2x + 27x + -9x2 + x3 = 0 + 27
3i2 + -1i2x + 27x + -9x2 + x3 = 0 + 27

Combine like terms: 0 + 27 = 27
3i2 + -1i2x + 27x + -9x2 + x3 = 27

Add '-27x' to each side of the equation.
3i2 + -1i2x + 27x + -9x2 + -27x + x3 = 27 + -27x

Reorder the terms:
3i2 + -1i2x + 27x + -27x + -9x2 + x3 = 27 + -27x

Combine like terms: 27x + -27x = 0
3i2 + -1i2x + 0 + -9x2 + x3 = 27 + -27x
3i2 + -1i2x + -9x2 + x3 = 27 + -27x

Add '9x2' to each side of the equation.
3i2 + -1i2x + -9x2 + 9x2 + x3 = 27 + -27x + 9x2

Combine like terms: -9x2 + 9x2 = 0
3i2 + -1i2x + 0 + x3 = 27 + -27x + 9x2
3i2 + -1i2x + x3 = 27 + -27x + 9x2

Add '-1x3' to each side of the equation.
3i2 + -1i2x + x3 + -1x3 = 27 + -27x + 9x2 + -1x3

Combine like terms: x3 + -1x3 = 0
3i2 + -1i2x + 0 = 27 + -27x + 9x2 + -1x3
3i2 + -1i2x = 27 + -27x + 9x2 + -1x3

Reorder the terms:
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = 27 + -27x + 9x2 + -1x3 + -27 + 27x + -9x2 + x3

Reorder the terms:
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = 27 + -27 + -27x + 27x + 9x2 + -9x2 + -1x3 + x3

Combine like terms: 27 + -27 = 0
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = 0 + -27x + 27x + 9x2 + -9x2 + -1x3 + x3
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = -27x + 27x + 9x2 + -9x2 + -1x3 + x3

Combine like terms: -27x + 27x = 0
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = 0 + 9x2 + -9x2 + -1x3 + x3
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = 9x2 + -9x2 + -1x3 + x3

Combine like terms: 9x2 + -9x2 = 0
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = 0 + -1x3 + x3
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-27 + 3i2 + -1i2x + 27x + -9x2 + x3 = 0

The solution to this equation could not be determined.

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