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

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


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

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

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

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

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

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

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

Reorder the terms:
((-4i + 2ix + -2i2) + ix(-2 + -1i + x) + 2x * (-2 + -1i + x) + x2(-2 + -1i + x)) = 0
((-4i + 2ix + -2i2) + ix(-2 + -1i + x) + 2x * (-2 + -1i + x) + x2(-2 + -1i + x)) = 0
(-4i + 2ix + -2i2 + (-2 * ix + -1i * ix + x * ix) + 2x * (-2 + -1i + x) + x2(-2 + -1i + x)) = 0

Reorder the terms:
(-4i + 2ix + -2i2 + (-2ix + ix2 + -1i2x) + 2x * (-2 + -1i + x) + x2(-2 + -1i + x)) = 0
(-4i + 2ix + -2i2 + (-2ix + ix2 + -1i2x) + 2x * (-2 + -1i + x) + x2(-2 + -1i + x)) = 0
(-4i + 2ix + -2i2 + -2ix + ix2 + -1i2x + (-2 * 2x + -1i * 2x + x * 2x) + x2(-2 + -1i + x)) = 0

Reorder the terms:
(-4i + 2ix + -2i2 + -2ix + ix2 + -1i2x + (-2ix + -4x + 2x2) + x2(-2 + -1i + x)) = 0
(-4i + 2ix + -2i2 + -2ix + ix2 + -1i2x + (-2ix + -4x + 2x2) + x2(-2 + -1i + x)) = 0
(-4i + 2ix + -2i2 + -2ix + ix2 + -1i2x + -2ix + -4x + 2x2 + (-2 * x2 + -1i * x2 + x * x2)) = 0

Reorder the terms:
(-4i + 2ix + -2i2 + -2ix + ix2 + -1i2x + -2ix + -4x + 2x2 + (-1ix2 + -2x2 + x3)) = 0
(-4i + 2ix + -2i2 + -2ix + ix2 + -1i2x + -2ix + -4x + 2x2 + (-1ix2 + -2x2 + x3)) = 0

Reorder the terms:
(-4i + 2ix + -2ix + -2ix + ix2 + -1ix2 + -2i2 + -1i2x + -4x + 2x2 + -2x2 + x3) = 0

Combine like terms: 2ix + -2ix = 0
(-4i + 0 + -2ix + ix2 + -1ix2 + -2i2 + -1i2x + -4x + 2x2 + -2x2 + x3) = 0
(-4i + -2ix + ix2 + -1ix2 + -2i2 + -1i2x + -4x + 2x2 + -2x2 + x3) = 0

Combine like terms: ix2 + -1ix2 = 0
(-4i + -2ix + 0 + -2i2 + -1i2x + -4x + 2x2 + -2x2 + x3) = 0
(-4i + -2ix + -2i2 + -1i2x + -4x + 2x2 + -2x2 + x3) = 0

Combine like terms: 2x2 + -2x2 = 0
(-4i + -2ix + -2i2 + -1i2x + -4x + 0 + x3) = 0
(-4i + -2ix + -2i2 + -1i2x + -4x + x3) = 0

Solving
-4i + -2ix + -2i2 + -1i2x + -4x + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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