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

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Solution for (x-3i)(x+2)(x-1)= equation: 


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

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

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

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

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

Multiply (-6i + -3ix + 2x + x2) * (-1 + x)
(-6i * (-1 + x) + -3ix * (-1 + x) + 2x * (-1 + x) + x2(-1 + x)) = 0
((-1 * -6i + x * -6i) + -3ix * (-1 + x) + 2x * (-1 + x) + x2(-1 + x)) = 0
((6i + -6ix) + -3ix * (-1 + x) + 2x * (-1 + x) + x2(-1 + x)) = 0
(6i + -6ix + (-1 * -3ix + x * -3ix) + 2x * (-1 + x) + x2(-1 + x)) = 0
(6i + -6ix + (3ix + -3ix2) + 2x * (-1 + x) + x2(-1 + x)) = 0
(6i + -6ix + 3ix + -3ix2 + (-1 * 2x + x * 2x) + x2(-1 + x)) = 0
(6i + -6ix + 3ix + -3ix2 + (-2x + 2x2) + x2(-1 + x)) = 0
(6i + -6ix + 3ix + -3ix2 + -2x + 2x2 + (-1 * x2 + x * x2)) = 0
(6i + -6ix + 3ix + -3ix2 + -2x + 2x2 + (-1x2 + x3)) = 0

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

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

Solving
6i + -3ix + -3ix2 + -2x + 1x2 + x3 = 0

Solving for variable 'i'.

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

Add '2x' to each side of the equation.
6i + -3ix + -3ix2 + -2x + 1x2 + 2x + x3 = 0 + 2x

Reorder the terms:
6i + -3ix + -3ix2 + -2x + 2x + 1x2 + x3 = 0 + 2x

Combine like terms: -2x + 2x = 0
6i + -3ix + -3ix2 + 0 + 1x2 + x3 = 0 + 2x
6i + -3ix + -3ix2 + 1x2 + x3 = 0 + 2x
Remove the zero:
6i + -3ix + -3ix2 + 1x2 + x3 = 2x

Add '-1x2' to each side of the equation.
6i + -3ix + -3ix2 + 1x2 + -1x2 + x3 = 2x + -1x2

Combine like terms: 1x2 + -1x2 = 0
6i + -3ix + -3ix2 + 0 + x3 = 2x + -1x2
6i + -3ix + -3ix2 + x3 = 2x + -1x2

Add '-1x3' to each side of the equation.
6i + -3ix + -3ix2 + x3 + -1x3 = 2x + -1x2 + -1x3

Combine like terms: x3 + -1x3 = 0
6i + -3ix + -3ix2 + 0 = 2x + -1x2 + -1x3
6i + -3ix + -3ix2 = 2x + -1x2 + -1x3

Reorder the terms:
6i + -3ix + -3ix2 + -2x + x2 + x3 = 2x + -2x + -1x2 + x2 + -1x3 + x3

Combine like terms: 2x + -2x = 0
6i + -3ix + -3ix2 + -2x + x2 + x3 = 0 + -1x2 + x2 + -1x3 + x3
6i + -3ix + -3ix2 + -2x + x2 + x3 = -1x2 + x2 + -1x3 + x3

Combine like terms: -1x2 + x2 = 0
6i + -3ix + -3ix2 + -2x + x2 + x3 = 0 + -1x3 + x3
6i + -3ix + -3ix2 + -2x + x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
6i + -3ix + -3ix2 + -2x + x2 + x3 = 0

The solution to this equation could not be determined.

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