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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -8x + -4x = -12x
(16 + 16i + -4ix + -2ix2 + 4i2 + 1i2x + -12x + 2x2 + -2x2 + x3) = 0

Combine like terms: 2x2 + -2x2 = 0
(16 + 16i + -4ix + -2ix2 + 4i2 + 1i2x + -12x + 0 + x3) = 0
(16 + 16i + -4ix + -2ix2 + 4i2 + 1i2x + -12x + x3) = 0

Solving
16 + 16i + -4ix + -2ix2 + 4i2 + 1i2x + -12x + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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