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

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


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

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

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

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

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

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

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

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

Multiply (-16i2 + x2) * (-2 + x)
(-16i2 * (-2 + x) + x2(-2 + x)) = 0
((-2 * -16i2 + x * -16i2) + x2(-2 + x)) = 0
((32i2 + -16i2x) + x2(-2 + x)) = 0
(32i2 + -16i2x + (-2 * x2 + x * x2)) = 0
(32i2 + -16i2x + (-2x2 + x3)) = 0
(32i2 + -16i2x + -2x2 + x3) = 0

Solving
32i2 + -16i2x + -2x2 + x3 = 0

Solving for variable 'i'.

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

Add '2x2' to each side of the equation.
32i2 + -16i2x + -2x2 + 2x2 + x3 = 0 + 2x2

Combine like terms: -2x2 + 2x2 = 0
32i2 + -16i2x + 0 + x3 = 0 + 2x2
32i2 + -16i2x + x3 = 0 + 2x2
Remove the zero:
32i2 + -16i2x + x3 = 2x2

Add '-1x3' to each side of the equation.
32i2 + -16i2x + x3 + -1x3 = 2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
32i2 + -16i2x + 0 = 2x2 + -1x3
32i2 + -16i2x = 2x2 + -1x3

Reorder the terms:
32i2 + -16i2x + -2x2 + x3 = 2x2 + -2x2 + -1x3 + x3

Combine like terms: 2x2 + -2x2 = 0
32i2 + -16i2x + -2x2 + x3 = 0 + -1x3 + x3
32i2 + -16i2x + -2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
32i2 + -16i2x + -2x2 + x3 = 0

The solution to this equation could not be determined.

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