(x-(3-2i))(x+(3-2i))(x-2)=10

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Solution for (x-(3-2i))(x+(3-2i))(x-2)=10 equation: 


Simplifying
(x + -1(3 + -2i))(x + (3 + -2i))(x + -2) = 10
(x + (3 * -1 + -2i * -1))(x + (3 + -2i))(x + -2) = 10
(x + (-3 + 2i))(x + (3 + -2i))(x + -2) = 10

Reorder the terms:
(-3 + 2i + x)(x + (3 + -2i))(x + -2) = 10

Remove parenthesis around (3 + -2i)
(-3 + 2i + x)(x + 3 + -2i)(x + -2) = 10

Reorder the terms:
(-3 + 2i + x)(3 + -2i + x)(x + -2) = 10

Reorder the terms:
(-3 + 2i + x)(3 + -2i + x)(-2 + x) = 10

Multiply (-3 + 2i + x) * (3 + -2i + x)
(-3(3 + -2i + x) + 2i * (3 + -2i + x) + x(3 + -2i + x))(-2 + x) = 10
((3 * -3 + -2i * -3 + x * -3) + 2i * (3 + -2i + x) + x(3 + -2i + x))(-2 + x) = 10
((-9 + 6i + -3x) + 2i * (3 + -2i + x) + x(3 + -2i + x))(-2 + x) = 10
(-9 + 6i + -3x + (3 * 2i + -2i * 2i + x * 2i) + x(3 + -2i + x))(-2 + x) = 10

Reorder the terms:
(-9 + 6i + -3x + (6i + 2ix + -4i2) + x(3 + -2i + x))(-2 + x) = 10
(-9 + 6i + -3x + (6i + 2ix + -4i2) + x(3 + -2i + x))(-2 + x) = 10
(-9 + 6i + -3x + 6i + 2ix + -4i2 + (3 * x + -2i * x + x * x))(-2 + x) = 10

Reorder the terms:
(-9 + 6i + -3x + 6i + 2ix + -4i2 + (-2ix + 3x + x2))(-2 + x) = 10
(-9 + 6i + -3x + 6i + 2ix + -4i2 + (-2ix + 3x + x2))(-2 + x) = 10

Reorder the terms:
(-9 + 6i + 6i + 2ix + -2ix + -4i2 + -3x + 3x + x2)(-2 + x) = 10

Combine like terms: 6i + 6i = 12i
(-9 + 12i + 2ix + -2ix + -4i2 + -3x + 3x + x2)(-2 + x) = 10

Combine like terms: 2ix + -2ix = 0
(-9 + 12i + 0 + -4i2 + -3x + 3x + x2)(-2 + x) = 10
(-9 + 12i + -4i2 + -3x + 3x + x2)(-2 + x) = 10

Combine like terms: -3x + 3x = 0
(-9 + 12i + -4i2 + 0 + x2)(-2 + x) = 10
(-9 + 12i + -4i2 + x2)(-2 + x) = 10

Multiply (-9 + 12i + -4i2 + x2) * (-2 + x)
(-9(-2 + x) + 12i * (-2 + x) + -4i2 * (-2 + x) + x2(-2 + x)) = 10
((-2 * -9 + x * -9) + 12i * (-2 + x) + -4i2 * (-2 + x) + x2(-2 + x)) = 10
((18 + -9x) + 12i * (-2 + x) + -4i2 * (-2 + x) + x2(-2 + x)) = 10
(18 + -9x + (-2 * 12i + x * 12i) + -4i2 * (-2 + x) + x2(-2 + x)) = 10
(18 + -9x + (-24i + 12ix) + -4i2 * (-2 + x) + x2(-2 + x)) = 10
(18 + -9x + -24i + 12ix + (-2 * -4i2 + x * -4i2) + x2(-2 + x)) = 10
(18 + -9x + -24i + 12ix + (8i2 + -4i2x) + x2(-2 + x)) = 10
(18 + -9x + -24i + 12ix + 8i2 + -4i2x + (-2 * x2 + x * x2)) = 10
(18 + -9x + -24i + 12ix + 8i2 + -4i2x + (-2x2 + x3)) = 10

Reorder the terms:
(18 + -24i + 12ix + 8i2 + -4i2x + -9x + -2x2 + x3) = 10
(18 + -24i + 12ix + 8i2 + -4i2x + -9x + -2x2 + x3) = 10

Solving
18 + -24i + 12ix + 8i2 + -4i2x + -9x + -2x2 + x3 = 10

Solving for variable 'i'.

Reorder the terms:
18 + -10 + -24i + 12ix + 8i2 + -4i2x + -9x + -2x2 + x3 = 10 + -10

Combine like terms: 18 + -10 = 8
8 + -24i + 12ix + 8i2 + -4i2x + -9x + -2x2 + x3 = 10 + -10

Combine like terms: 10 + -10 = 0
8 + -24i + 12ix + 8i2 + -4i2x + -9x + -2x2 + x3 = 0

The solution to this equation could not be determined.

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