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

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


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

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

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

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

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

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

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

Combine like terms: ix + -1ix = 0
(0 + -1i2 + x2)(-2 + x) = 0
(-1i2 + x2)(-2 + x) = 0

Multiply (-1i2 + x2) * (-2 + x)
(-1i2 * (-2 + x) + x2(-2 + x)) = 0
((-2 * -1i2 + x * -1i2) + x2(-2 + x)) = 0
((2i2 + -1i2x) + x2(-2 + x)) = 0
(2i2 + -1i2x + (-2 * x2 + x * x2)) = 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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