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

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


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

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

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

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

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

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

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

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

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

Multiply (-16i2 + x2) * (4 + x)
(-16i2 * (4 + x) + x2(4 + x))(-4 + x) = 0
((4 * -16i2 + x * -16i2) + x2(4 + x))(-4 + x) = 0
((-64i2 + -16i2x) + x2(4 + x))(-4 + x) = 0
(-64i2 + -16i2x + (4 * x2 + x * x2))(-4 + x) = 0
(-64i2 + -16i2x + (4x2 + x3))(-4 + x) = 0
(-64i2 + -16i2x + 4x2 + x3)(-4 + x) = 0

Multiply (-64i2 + -16i2x + 4x2 + x3) * (-4 + x)
(-64i2 * (-4 + x) + -16i2x * (-4 + x) + 4x2 * (-4 + x) + x3(-4 + x)) = 0
((-4 * -64i2 + x * -64i2) + -16i2x * (-4 + x) + 4x2 * (-4 + x) + x3(-4 + x)) = 0
((256i2 + -64i2x) + -16i2x * (-4 + x) + 4x2 * (-4 + x) + x3(-4 + x)) = 0
(256i2 + -64i2x + (-4 * -16i2x + x * -16i2x) + 4x2 * (-4 + x) + x3(-4 + x)) = 0
(256i2 + -64i2x + (64i2x + -16i2x2) + 4x2 * (-4 + x) + x3(-4 + x)) = 0
(256i2 + -64i2x + 64i2x + -16i2x2 + (-4 * 4x2 + x * 4x2) + x3(-4 + x)) = 0
(256i2 + -64i2x + 64i2x + -16i2x2 + (-16x2 + 4x3) + x3(-4 + x)) = 0
(256i2 + -64i2x + 64i2x + -16i2x2 + -16x2 + 4x3 + (-4 * x3 + x * x3)) = 0
(256i2 + -64i2x + 64i2x + -16i2x2 + -16x2 + 4x3 + (-4x3 + x4)) = 0

Combine like terms: -64i2x + 64i2x = 0
(256i2 + 0 + -16i2x2 + -16x2 + 4x3 + -4x3 + x4) = 0
(256i2 + -16i2x2 + -16x2 + 4x3 + -4x3 + x4) = 0

Combine like terms: 4x3 + -4x3 = 0
(256i2 + -16i2x2 + -16x2 + 0 + x4) = 0
(256i2 + -16i2x2 + -16x2 + x4) = 0

Solving
256i2 + -16i2x2 + -16x2 + x4 = 0

Solving for variable 'i'.

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

Add '16x2' to each side of the equation.
256i2 + -16i2x2 + -16x2 + 16x2 + x4 = 0 + 16x2

Combine like terms: -16x2 + 16x2 = 0
256i2 + -16i2x2 + 0 + x4 = 0 + 16x2
256i2 + -16i2x2 + x4 = 0 + 16x2
Remove the zero:
256i2 + -16i2x2 + x4 = 16x2

Add '-1x4' to each side of the equation.
256i2 + -16i2x2 + x4 + -1x4 = 16x2 + -1x4

Combine like terms: x4 + -1x4 = 0
256i2 + -16i2x2 + 0 = 16x2 + -1x4
256i2 + -16i2x2 = 16x2 + -1x4

Reorder the terms:
256i2 + -16i2x2 + -16x2 + x4 = 16x2 + -16x2 + -1x4 + x4

Combine like terms: 16x2 + -16x2 = 0
256i2 + -16i2x2 + -16x2 + x4 = 0 + -1x4 + x4
256i2 + -16i2x2 + -16x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
256i2 + -16i2x2 + -16x2 + x4 = 0

The solution to this equation could not be determined.

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