(x+4)(x-(2+i))(x+(2+i))=0

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Solution for (x+4)(x-(2+i))(x+(2+i))=0 equation: 


Simplifying
(x + 4)(x + -1(2 + i))(x + (2 + i)) = 0

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

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

Remove parenthesis around (2 + i)
(4 + x)(-2 + -1i + x)(x + 2 + i) = 0

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

Multiply (4 + x) * (-2 + -1i + x)
(4(-2 + -1i + x) + x(-2 + -1i + x))(2 + i + x) = 0
((-2 * 4 + -1i * 4 + x * 4) + x(-2 + -1i + x))(2 + i + x) = 0
((-8 + -4i + 4x) + x(-2 + -1i + x))(2 + i + x) = 0
(-8 + -4i + 4x + (-2 * x + -1i * x + x * x))(2 + i + x) = 0

Reorder the terms:
(-8 + -4i + 4x + (-1ix + -2x + x2))(2 + i + x) = 0
(-8 + -4i + 4x + (-1ix + -2x + x2))(2 + i + x) = 0

Reorder the terms:
(-8 + -4i + -1ix + 4x + -2x + x2)(2 + i + x) = 0

Combine like terms: 4x + -2x = 2x
(-8 + -4i + -1ix + 2x + x2)(2 + i + x) = 0

Multiply (-8 + -4i + -1ix + 2x + x2) * (2 + i + x)
(-8(2 + i + x) + -4i * (2 + i + x) + -1ix * (2 + i + x) + 2x * (2 + i + x) + x2(2 + i + x)) = 0
((2 * -8 + i * -8 + x * -8) + -4i * (2 + i + x) + -1ix * (2 + i + x) + 2x * (2 + i + x) + x2(2 + i + x)) = 0
((-16 + -8i + -8x) + -4i * (2 + i + x) + -1ix * (2 + i + x) + 2x * (2 + i + x) + x2(2 + i + x)) = 0
(-16 + -8i + -8x + (2 * -4i + i * -4i + x * -4i) + -1ix * (2 + i + x) + 2x * (2 + i + x) + x2(2 + i + x)) = 0

Reorder the terms:
(-16 + -8i + -8x + (-8i + -4ix + -4i2) + -1ix * (2 + i + x) + 2x * (2 + i + x) + x2(2 + i + x)) = 0
(-16 + -8i + -8x + (-8i + -4ix + -4i2) + -1ix * (2 + i + x) + 2x * (2 + i + x) + x2(2 + i + x)) = 0
(-16 + -8i + -8x + -8i + -4ix + -4i2 + (2 * -1ix + i * -1ix + x * -1ix) + 2x * (2 + i + x) + x2(2 + i + x)) = 0

Reorder the terms:
(-16 + -8i + -8x + -8i + -4ix + -4i2 + (-2ix + -1ix2 + -1i2x) + 2x * (2 + i + x) + x2(2 + i + x)) = 0
(-16 + -8i + -8x + -8i + -4ix + -4i2 + (-2ix + -1ix2 + -1i2x) + 2x * (2 + i + x) + x2(2 + i + x)) = 0
(-16 + -8i + -8x + -8i + -4ix + -4i2 + -2ix + -1ix2 + -1i2x + (2 * 2x + i * 2x + x * 2x) + x2(2 + i + x)) = 0

Reorder the terms:
(-16 + -8i + -8x + -8i + -4ix + -4i2 + -2ix + -1ix2 + -1i2x + (2ix + 4x + 2x2) + x2(2 + i + x)) = 0
(-16 + -8i + -8x + -8i + -4ix + -4i2 + -2ix + -1ix2 + -1i2x + (2ix + 4x + 2x2) + x2(2 + i + x)) = 0
(-16 + -8i + -8x + -8i + -4ix + -4i2 + -2ix + -1ix2 + -1i2x + 2ix + 4x + 2x2 + (2 * x2 + i * x2 + x * x2)) = 0

Reorder the terms:
(-16 + -8i + -8x + -8i + -4ix + -4i2 + -2ix + -1ix2 + -1i2x + 2ix + 4x + 2x2 + (ix2 + 2x2 + x3)) = 0
(-16 + -8i + -8x + -8i + -4ix + -4i2 + -2ix + -1ix2 + -1i2x + 2ix + 4x + 2x2 + (ix2 + 2x2 + x3)) = 0

Reorder the terms:
(-16 + -8i + -8i + -4ix + -2ix + 2ix + -1ix2 + ix2 + -4i2 + -1i2x + -8x + 4x + 2x2 + 2x2 + x3) = 0

Combine like terms: -8i + -8i = -16i
(-16 + -16i + -4ix + -2ix + 2ix + -1ix2 + ix2 + -4i2 + -1i2x + -8x + 4x + 2x2 + 2x2 + x3) = 0

Combine like terms: -4ix + -2ix = -6ix
(-16 + -16i + -6ix + 2ix + -1ix2 + ix2 + -4i2 + -1i2x + -8x + 4x + 2x2 + 2x2 + x3) = 0

Combine like terms: -6ix + 2ix = -4ix
(-16 + -16i + -4ix + -1ix2 + ix2 + -4i2 + -1i2x + -8x + 4x + 2x2 + 2x2 + x3) = 0

Combine like terms: -1ix2 + ix2 = 0
(-16 + -16i + -4ix + 0 + -4i2 + -1i2x + -8x + 4x + 2x2 + 2x2 + x3) = 0
(-16 + -16i + -4ix + -4i2 + -1i2x + -8x + 4x + 2x2 + 2x2 + x3) = 0

Combine like terms: -8x + 4x = -4x
(-16 + -16i + -4ix + -4i2 + -1i2x + -4x + 2x2 + 2x2 + x3) = 0

Combine like terms: 2x2 + 2x2 = 4x2
(-16 + -16i + -4ix + -4i2 + -1i2x + -4x + 4x2 + x3) = 0

Solving
-16 + -16i + -4ix + -4i2 + -1i2x + -4x + 4x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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