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

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Solution for (x+(2+4i))(x-(2+4i))(x-1)=0 equation: 


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

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

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

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

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

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

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

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

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

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

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

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

Multiply (-4 + -16i + -16i2 + x2) * (-1 + x)
(-4(-1 + x) + -16i * (-1 + x) + -16i2 * (-1 + x) + x2(-1 + x)) = 0
((-1 * -4 + x * -4) + -16i * (-1 + x) + -16i2 * (-1 + x) + x2(-1 + x)) = 0
((4 + -4x) + -16i * (-1 + x) + -16i2 * (-1 + x) + x2(-1 + x)) = 0
(4 + -4x + (-1 * -16i + x * -16i) + -16i2 * (-1 + x) + x2(-1 + x)) = 0
(4 + -4x + (16i + -16ix) + -16i2 * (-1 + x) + x2(-1 + x)) = 0
(4 + -4x + 16i + -16ix + (-1 * -16i2 + x * -16i2) + x2(-1 + x)) = 0
(4 + -4x + 16i + -16ix + (16i2 + -16i2x) + x2(-1 + x)) = 0
(4 + -4x + 16i + -16ix + 16i2 + -16i2x + (-1 * x2 + x * x2)) = 0
(4 + -4x + 16i + -16ix + 16i2 + -16i2x + (-1x2 + x3)) = 0

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

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

Solving for variable 'i'.

The solution to this equation could not be determined.

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