(X-2)(x-1)(x-3i)=0

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Solution for (X-2)(x-1)(x-3i)=0 equation: 


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

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

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

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

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

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

Multiply (2 + -1X + -2x + xX) * (-3i + x)
(2(-3i + x) + -1X * (-3i + x) + -2x * (-3i + x) + xX(-3i + x)) = 0
((-3i * 2 + x * 2) + -1X * (-3i + x) + -2x * (-3i + x) + xX(-3i + x)) = 0
((-6i + 2x) + -1X * (-3i + x) + -2x * (-3i + x) + xX(-3i + x)) = 0
(-6i + 2x + (-3i * -1X + x * -1X) + -2x * (-3i + x) + xX(-3i + x)) = 0
(-6i + 2x + (3iX + -1xX) + -2x * (-3i + x) + xX(-3i + x)) = 0
(-6i + 2x + 3iX + -1xX + (-3i * -2x + x * -2x) + xX(-3i + x)) = 0
(-6i + 2x + 3iX + -1xX + (6ix + -2x2) + xX(-3i + x)) = 0
(-6i + 2x + 3iX + -1xX + 6ix + -2x2 + (-3i * xX + x * xX)) = 0
(-6i + 2x + 3iX + -1xX + 6ix + -2x2 + (-3ixX + x2X)) = 0

Reorder the terms:
(-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X) = 0
(-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X) = 0

Solving
-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X = 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 + 6ix + -3ixX + 2x + -1xX + -2x2 + -2x + x2X = 0 + -2x

Reorder the terms:
-6i + 3iX + 6ix + -3ixX + 2x + -2x + -1xX + -2x2 + x2X = 0 + -2x

Combine like terms: 2x + -2x = 0
-6i + 3iX + 6ix + -3ixX + 0 + -1xX + -2x2 + x2X = 0 + -2x
-6i + 3iX + 6ix + -3ixX + -1xX + -2x2 + x2X = 0 + -2x
Remove the zero:
-6i + 3iX + 6ix + -3ixX + -1xX + -2x2 + x2X = -2x

Add 'xX' to each side of the equation.
-6i + 3iX + 6ix + -3ixX + -1xX + -2x2 + xX + x2X = -2x + xX

Reorder the terms:
-6i + 3iX + 6ix + -3ixX + -1xX + xX + -2x2 + x2X = -2x + xX

Combine like terms: -1xX + xX = 0
-6i + 3iX + 6ix + -3ixX + 0 + -2x2 + x2X = -2x + xX
-6i + 3iX + 6ix + -3ixX + -2x2 + x2X = -2x + xX

Add '2x2' to each side of the equation.
-6i + 3iX + 6ix + -3ixX + -2x2 + 2x2 + x2X = -2x + xX + 2x2

Combine like terms: -2x2 + 2x2 = 0
-6i + 3iX + 6ix + -3ixX + 0 + x2X = -2x + xX + 2x2
-6i + 3iX + 6ix + -3ixX + x2X = -2x + xX + 2x2

Add '-1x2X' to each side of the equation.
-6i + 3iX + 6ix + -3ixX + x2X + -1x2X = -2x + xX + 2x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
-6i + 3iX + 6ix + -3ixX + 0 = -2x + xX + 2x2 + -1x2X
-6i + 3iX + 6ix + -3ixX = -2x + xX + 2x2 + -1x2X

Reorder the terms:
-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X = -2x + 2x + xX + -1xX + 2x2 + -2x2 + -1x2X + x2X

Combine like terms: -2x + 2x = 0
-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X = 0 + xX + -1xX + 2x2 + -2x2 + -1x2X + x2X
-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X = xX + -1xX + 2x2 + -2x2 + -1x2X + x2X

Combine like terms: xX + -1xX = 0
-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X = 0 + 2x2 + -2x2 + -1x2X + x2X
-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X = 2x2 + -2x2 + -1x2X + x2X

Combine like terms: 2x2 + -2x2 = 0
-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X = 0 + -1x2X + x2X
-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x2 + x2X = 0

The solution to this equation could not be determined.

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