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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'i'.

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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