(x-6)(x+4i)(x-4i)=

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Solution for (x-6)(x+4i)(x-4i)= equation: 


Simplifying
(x + -6)(x + 4i)(x + -4i) = 0

Reorder the terms:
(-6 + x)(x + 4i)(x + -4i) = 0

Reorder the terms:
(-6 + x)(4i + x)(x + -4i) = 0

Reorder the terms:
(-6 + x)(4i + x)(-4i + x) = 0

Multiply (-6 + x) * (4i + x)
(-6(4i + x) + x(4i + x))(-4i + x) = 0
((4i * -6 + x * -6) + x(4i + x))(-4i + x) = 0
((-24i + -6x) + x(4i + x))(-4i + x) = 0
(-24i + -6x + (4i * x + x * x))(-4i + x) = 0
(-24i + -6x + (4ix + x2))(-4i + x) = 0

Reorder the terms:
(-24i + 4ix + -6x + x2)(-4i + x) = 0
(-24i + 4ix + -6x + x2)(-4i + x) = 0

Multiply (-24i + 4ix + -6x + x2) * (-4i + x)
(-24i * (-4i + x) + 4ix * (-4i + x) + -6x * (-4i + x) + x2(-4i + x)) = 0
((-4i * -24i + x * -24i) + 4ix * (-4i + x) + -6x * (-4i + x) + x2(-4i + x)) = 0

Reorder the terms:
((-24ix + 96i2) + 4ix * (-4i + x) + -6x * (-4i + x) + x2(-4i + x)) = 0
((-24ix + 96i2) + 4ix * (-4i + x) + -6x * (-4i + x) + x2(-4i + x)) = 0
(-24ix + 96i2 + (-4i * 4ix + x * 4ix) + -6x * (-4i + x) + x2(-4i + x)) = 0

Reorder the terms:
(-24ix + 96i2 + (4ix2 + -16i2x) + -6x * (-4i + x) + x2(-4i + x)) = 0
(-24ix + 96i2 + (4ix2 + -16i2x) + -6x * (-4i + x) + x2(-4i + x)) = 0
(-24ix + 96i2 + 4ix2 + -16i2x + (-4i * -6x + x * -6x) + x2(-4i + x)) = 0
(-24ix + 96i2 + 4ix2 + -16i2x + (24ix + -6x2) + x2(-4i + x)) = 0
(-24ix + 96i2 + 4ix2 + -16i2x + 24ix + -6x2 + (-4i * x2 + x * x2)) = 0
(-24ix + 96i2 + 4ix2 + -16i2x + 24ix + -6x2 + (-4ix2 + x3)) = 0

Reorder the terms:
(-24ix + 24ix + 4ix2 + -4ix2 + 96i2 + -16i2x + -6x2 + x3) = 0

Combine like terms: -24ix + 24ix = 0
(0 + 4ix2 + -4ix2 + 96i2 + -16i2x + -6x2 + x3) = 0
(4ix2 + -4ix2 + 96i2 + -16i2x + -6x2 + x3) = 0

Combine like terms: 4ix2 + -4ix2 = 0
(0 + 96i2 + -16i2x + -6x2 + x3) = 0
(96i2 + -16i2x + -6x2 + x3) = 0

Solving
96i2 + -16i2x + -6x2 + x3 = 0

Solving for variable 'i'.

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

Add '6x2' to each side of the equation.
96i2 + -16i2x + -6x2 + 6x2 + x3 = 0 + 6x2

Combine like terms: -6x2 + 6x2 = 0
96i2 + -16i2x + 0 + x3 = 0 + 6x2
96i2 + -16i2x + x3 = 0 + 6x2
Remove the zero:
96i2 + -16i2x + x3 = 6x2

Add '-1x3' to each side of the equation.
96i2 + -16i2x + x3 + -1x3 = 6x2 + -1x3

Combine like terms: x3 + -1x3 = 0
96i2 + -16i2x + 0 = 6x2 + -1x3
96i2 + -16i2x = 6x2 + -1x3

Reorder the terms:
96i2 + -16i2x + -6x2 + x3 = 6x2 + -6x2 + -1x3 + x3

Combine like terms: 6x2 + -6x2 = 0
96i2 + -16i2x + -6x2 + x3 = 0 + -1x3 + x3
96i2 + -16i2x + -6x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
96i2 + -16i2x + -6x2 + x3 = 0

The solution to this equation could not be determined.

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