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

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


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

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

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

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

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

Multiply (-2 + 2X + -1x + xX) * (2i + x)
(-2(2i + x) + 2X * (2i + x) + -1x * (2i + x) + xX(2i + x)) = 0
((2i * -2 + x * -2) + 2X * (2i + x) + -1x * (2i + x) + xX(2i + x)) = 0
((-4i + -2x) + 2X * (2i + x) + -1x * (2i + x) + xX(2i + x)) = 0
(-4i + -2x + (2i * 2X + x * 2X) + -1x * (2i + x) + xX(2i + x)) = 0
(-4i + -2x + (4iX + 2xX) + -1x * (2i + x) + xX(2i + x)) = 0
(-4i + -2x + 4iX + 2xX + (2i * -1x + x * -1x) + xX(2i + x)) = 0
(-4i + -2x + 4iX + 2xX + (-2ix + -1x2) + xX(2i + x)) = 0
(-4i + -2x + 4iX + 2xX + -2ix + -1x2 + (2i * xX + x * xX)) = 0
(-4i + -2x + 4iX + 2xX + -2ix + -1x2 + (2ixX + x2X)) = 0

Reorder the terms:
(-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X) = 0
(-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X) = 0

Solving
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + 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.
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + 2x + x2X = 0 + 2x

Reorder the terms:
-4i + 4iX + -2ix + 2ixX + -2x + 2x + 2xX + -1x2 + x2X = 0 + 2x

Combine like terms: -2x + 2x = 0
-4i + 4iX + -2ix + 2ixX + 0 + 2xX + -1x2 + x2X = 0 + 2x
-4i + 4iX + -2ix + 2ixX + 2xX + -1x2 + x2X = 0 + 2x
Remove the zero:
-4i + 4iX + -2ix + 2ixX + 2xX + -1x2 + x2X = 2x

Add '-2xX' to each side of the equation.
-4i + 4iX + -2ix + 2ixX + 2xX + -1x2 + -2xX + x2X = 2x + -2xX

Reorder the terms:
-4i + 4iX + -2ix + 2ixX + 2xX + -2xX + -1x2 + x2X = 2x + -2xX

Combine like terms: 2xX + -2xX = 0
-4i + 4iX + -2ix + 2ixX + 0 + -1x2 + x2X = 2x + -2xX
-4i + 4iX + -2ix + 2ixX + -1x2 + x2X = 2x + -2xX

Add 'x2' to each side of the equation.
-4i + 4iX + -2ix + 2ixX + -1x2 + x2 + x2X = 2x + -2xX + x2

Combine like terms: -1x2 + x2 = 0
-4i + 4iX + -2ix + 2ixX + 0 + x2X = 2x + -2xX + x2
-4i + 4iX + -2ix + 2ixX + x2X = 2x + -2xX + x2

Add '-1x2X' to each side of the equation.
-4i + 4iX + -2ix + 2ixX + x2X + -1x2X = 2x + -2xX + x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
-4i + 4iX + -2ix + 2ixX + 0 = 2x + -2xX + x2 + -1x2X
-4i + 4iX + -2ix + 2ixX = 2x + -2xX + x2 + -1x2X

Reorder the terms:
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X = 2x + -2x + -2xX + 2xX + x2 + -1x2 + -1x2X + x2X

Combine like terms: 2x + -2x = 0
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X = 0 + -2xX + 2xX + x2 + -1x2 + -1x2X + x2X
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X = -2xX + 2xX + x2 + -1x2 + -1x2X + x2X

Combine like terms: -2xX + 2xX = 0
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X = 0 + x2 + -1x2 + -1x2X + x2X
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X = x2 + -1x2 + -1x2X + x2X

Combine like terms: x2 + -1x2 = 0
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X = 0 + -1x2X + x2X
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
-4i + 4iX + -2ix + 2ixX + -2x + 2xX + -1x2 + x2X = 0

The solution to this equation could not be determined.

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