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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -1ix2 + ix2 = 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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