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

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


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

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

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

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

Multiply (-3 + -1i + x) * (-3 + 1i + x)
(-3(-3 + 1i + x) + -1i * (-3 + 1i + x) + x(-3 + 1i + x))(-2 + x) = 0
((-3 * -3 + 1i * -3 + x * -3) + -1i * (-3 + 1i + x) + x(-3 + 1i + x))(-2 + x) = 0
((9 + -3i + -3x) + -1i * (-3 + 1i + x) + x(-3 + 1i + x))(-2 + x) = 0
(9 + -3i + -3x + (-3 * -1i + 1i * -1i + x * -1i) + x(-3 + 1i + x))(-2 + x) = 0

Reorder the terms:
(9 + -3i + -3x + (3i + -1ix + -1i2) + x(-3 + 1i + x))(-2 + x) = 0
(9 + -3i + -3x + (3i + -1ix + -1i2) + x(-3 + 1i + x))(-2 + x) = 0
(9 + -3i + -3x + 3i + -1ix + -1i2 + (-3 * x + 1i * x + x * x))(-2 + x) = 0

Reorder the terms:
(9 + -3i + -3x + 3i + -1ix + -1i2 + (1ix + -3x + x2))(-2 + x) = 0
(9 + -3i + -3x + 3i + -1ix + -1i2 + (1ix + -3x + x2))(-2 + x) = 0

Reorder the terms:
(9 + -3i + 3i + -1ix + 1ix + -1i2 + -3x + -3x + x2)(-2 + x) = 0

Combine like terms: -3i + 3i = 0
(9 + 0 + -1ix + 1ix + -1i2 + -3x + -3x + x2)(-2 + x) = 0
(9 + -1ix + 1ix + -1i2 + -3x + -3x + x2)(-2 + x) = 0

Combine like terms: -1ix + 1ix = 0
(9 + 0 + -1i2 + -3x + -3x + x2)(-2 + x) = 0
(9 + -1i2 + -3x + -3x + x2)(-2 + x) = 0

Combine like terms: -3x + -3x = -6x
(9 + -1i2 + -6x + x2)(-2 + x) = 0

Multiply (9 + -1i2 + -6x + x2) * (-2 + x)
(9(-2 + x) + -1i2 * (-2 + x) + -6x * (-2 + x) + x2(-2 + x)) = 0
((-2 * 9 + x * 9) + -1i2 * (-2 + x) + -6x * (-2 + x) + x2(-2 + x)) = 0
((-18 + 9x) + -1i2 * (-2 + x) + -6x * (-2 + x) + x2(-2 + x)) = 0
(-18 + 9x + (-2 * -1i2 + x * -1i2) + -6x * (-2 + x) + x2(-2 + x)) = 0
(-18 + 9x + (2i2 + -1i2x) + -6x * (-2 + x) + x2(-2 + x)) = 0
(-18 + 9x + 2i2 + -1i2x + (-2 * -6x + x * -6x) + x2(-2 + x)) = 0
(-18 + 9x + 2i2 + -1i2x + (12x + -6x2) + x2(-2 + x)) = 0
(-18 + 9x + 2i2 + -1i2x + 12x + -6x2 + (-2 * x2 + x * x2)) = 0
(-18 + 9x + 2i2 + -1i2x + 12x + -6x2 + (-2x2 + x3)) = 0

Reorder the terms:
(-18 + 2i2 + -1i2x + 9x + 12x + -6x2 + -2x2 + x3) = 0

Combine like terms: 9x + 12x = 21x
(-18 + 2i2 + -1i2x + 21x + -6x2 + -2x2 + x3) = 0

Combine like terms: -6x2 + -2x2 = -8x2
(-18 + 2i2 + -1i2x + 21x + -8x2 + x3) = 0

Solving
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = 0

Solving for variable 'i'.

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

Add '18' to each side of the equation.
-18 + 2i2 + -1i2x + 21x + -8x2 + 18 + x3 = 0 + 18

Reorder the terms:
-18 + 18 + 2i2 + -1i2x + 21x + -8x2 + x3 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2i2 + -1i2x + 21x + -8x2 + x3 = 0 + 18
2i2 + -1i2x + 21x + -8x2 + x3 = 0 + 18

Combine like terms: 0 + 18 = 18
2i2 + -1i2x + 21x + -8x2 + x3 = 18

Add '-21x' to each side of the equation.
2i2 + -1i2x + 21x + -8x2 + -21x + x3 = 18 + -21x

Reorder the terms:
2i2 + -1i2x + 21x + -21x + -8x2 + x3 = 18 + -21x

Combine like terms: 21x + -21x = 0
2i2 + -1i2x + 0 + -8x2 + x3 = 18 + -21x
2i2 + -1i2x + -8x2 + x3 = 18 + -21x

Add '8x2' to each side of the equation.
2i2 + -1i2x + -8x2 + 8x2 + x3 = 18 + -21x + 8x2

Combine like terms: -8x2 + 8x2 = 0
2i2 + -1i2x + 0 + x3 = 18 + -21x + 8x2
2i2 + -1i2x + x3 = 18 + -21x + 8x2

Add '-1x3' to each side of the equation.
2i2 + -1i2x + x3 + -1x3 = 18 + -21x + 8x2 + -1x3

Combine like terms: x3 + -1x3 = 0
2i2 + -1i2x + 0 = 18 + -21x + 8x2 + -1x3
2i2 + -1i2x = 18 + -21x + 8x2 + -1x3

Reorder the terms:
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = 18 + -21x + 8x2 + -1x3 + -18 + 21x + -8x2 + x3

Reorder the terms:
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = 18 + -18 + -21x + 21x + 8x2 + -8x2 + -1x3 + x3

Combine like terms: 18 + -18 = 0
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = 0 + -21x + 21x + 8x2 + -8x2 + -1x3 + x3
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = -21x + 21x + 8x2 + -8x2 + -1x3 + x3

Combine like terms: -21x + 21x = 0
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = 0 + 8x2 + -8x2 + -1x3 + x3
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = 8x2 + -8x2 + -1x3 + x3

Combine like terms: 8x2 + -8x2 = 0
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = 0 + -1x3 + x3
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-18 + 2i2 + -1i2x + 21x + -8x2 + x3 = 0

The solution to this equation could not be determined.

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