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

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


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

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

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

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

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

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

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

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

Reorder the terms:
(2ix + -2i2 + (ix2 + -1i2x) + 2x * (-1i + x) + x2(-1i + x)) = 0
(2ix + -2i2 + (ix2 + -1i2x) + 2x * (-1i + x) + x2(-1i + x)) = 0
(2ix + -2i2 + ix2 + -1i2x + (-1i * 2x + x * 2x) + x2(-1i + x)) = 0
(2ix + -2i2 + ix2 + -1i2x + (-2ix + 2x2) + x2(-1i + x)) = 0
(2ix + -2i2 + ix2 + -1i2x + -2ix + 2x2 + (-1i * x2 + x * x2)) = 0
(2ix + -2i2 + ix2 + -1i2x + -2ix + 2x2 + (-1ix2 + x3)) = 0

Reorder the terms:
(2ix + -2ix + ix2 + -1ix2 + -2i2 + -1i2x + 2x2 + x3) = 0

Combine like terms: 2ix + -2ix = 0
(0 + ix2 + -1ix2 + -2i2 + -1i2x + 2x2 + x3) = 0
(ix2 + -1ix2 + -2i2 + -1i2x + 2x2 + x3) = 0

Combine like terms: ix2 + -1ix2 = 0
(0 + -2i2 + -1i2x + 2x2 + x3) = 0
(-2i2 + -1i2x + 2x2 + x3) = 0

Solving
-2i2 + -1i2x + 2x2 + x3 = 0

Solving for variable 'i'.

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

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

Combine like terms: 2x2 + -2x2 = 0
-2i2 + -1i2x + 0 + x3 = 0 + -2x2
-2i2 + -1i2x + x3 = 0 + -2x2
Remove the zero:
-2i2 + -1i2x + x3 = -2x2

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

Combine like terms: x3 + -1x3 = 0
-2i2 + -1i2x + 0 = -2x2 + -1x3
-2i2 + -1i2x = -2x2 + -1x3

Reorder the terms:
-2i2 + -1i2x + 2x2 + x3 = -2x2 + 2x2 + -1x3 + x3

Combine like terms: -2x2 + 2x2 = 0
-2i2 + -1i2x + 2x2 + x3 = 0 + -1x3 + x3
-2i2 + -1i2x + 2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-2i2 + -1i2x + 2x2 + x3 = 0

The solution to this equation could not be determined.

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