(x-3)(x-4i)(x+4i)=

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Solution for (x-3)(x-4i)(x+4i)= equation: 


Simplifying
(x + -3)(x + -4i)(x + 4i) = 0

Reorder the terms:
(-3 + x)(x + -4i)(x + 4i) = 0

Reorder the terms:
(-3 + x)(-4i + x)(x + 4i) = 0

Reorder the terms:
(-3 + x)(-4i + x)(4i + x) = 0

Multiply (-3 + x) * (-4i + x)
(-3(-4i + x) + x(-4i + x))(4i + x) = 0
((-4i * -3 + x * -3) + x(-4i + x))(4i + x) = 0
((12i + -3x) + x(-4i + x))(4i + x) = 0
(12i + -3x + (-4i * x + x * x))(4i + x) = 0
(12i + -3x + (-4ix + x2))(4i + x) = 0

Reorder the terms:
(12i + -4ix + -3x + x2)(4i + x) = 0
(12i + -4ix + -3x + x2)(4i + x) = 0

Multiply (12i + -4ix + -3x + x2) * (4i + x)
(12i * (4i + x) + -4ix * (4i + x) + -3x * (4i + x) + x2(4i + x)) = 0
((4i * 12i + x * 12i) + -4ix * (4i + x) + -3x * (4i + x) + x2(4i + x)) = 0

Reorder the terms:
((12ix + 48i2) + -4ix * (4i + x) + -3x * (4i + x) + x2(4i + x)) = 0
((12ix + 48i2) + -4ix * (4i + x) + -3x * (4i + x) + x2(4i + x)) = 0
(12ix + 48i2 + (4i * -4ix + x * -4ix) + -3x * (4i + x) + x2(4i + x)) = 0

Reorder the terms:
(12ix + 48i2 + (-4ix2 + -16i2x) + -3x * (4i + x) + x2(4i + x)) = 0
(12ix + 48i2 + (-4ix2 + -16i2x) + -3x * (4i + x) + x2(4i + x)) = 0
(12ix + 48i2 + -4ix2 + -16i2x + (4i * -3x + x * -3x) + x2(4i + x)) = 0
(12ix + 48i2 + -4ix2 + -16i2x + (-12ix + -3x2) + x2(4i + x)) = 0
(12ix + 48i2 + -4ix2 + -16i2x + -12ix + -3x2 + (4i * x2 + x * x2)) = 0
(12ix + 48i2 + -4ix2 + -16i2x + -12ix + -3x2 + (4ix2 + x3)) = 0

Reorder the terms:
(12ix + -12ix + -4ix2 + 4ix2 + 48i2 + -16i2x + -3x2 + x3) = 0

Combine like terms: 12ix + -12ix = 0
(0 + -4ix2 + 4ix2 + 48i2 + -16i2x + -3x2 + x3) = 0
(-4ix2 + 4ix2 + 48i2 + -16i2x + -3x2 + x3) = 0

Combine like terms: -4ix2 + 4ix2 = 0
(0 + 48i2 + -16i2x + -3x2 + x3) = 0
(48i2 + -16i2x + -3x2 + x3) = 0

Solving
48i2 + -16i2x + -3x2 + x3 = 0

Solving for variable 'i'.

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

Add '3x2' to each side of the equation.
48i2 + -16i2x + -3x2 + 3x2 + x3 = 0 + 3x2

Combine like terms: -3x2 + 3x2 = 0
48i2 + -16i2x + 0 + x3 = 0 + 3x2
48i2 + -16i2x + x3 = 0 + 3x2
Remove the zero:
48i2 + -16i2x + x3 = 3x2

Add '-1x3' to each side of the equation.
48i2 + -16i2x + x3 + -1x3 = 3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
48i2 + -16i2x + 0 = 3x2 + -1x3
48i2 + -16i2x = 3x2 + -1x3

Reorder the terms:
48i2 + -16i2x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3

Combine like terms: 3x2 + -3x2 = 0
48i2 + -16i2x + -3x2 + x3 = 0 + -1x3 + x3
48i2 + -16i2x + -3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
48i2 + -16i2x + -3x2 + x3 = 0

The solution to this equation could not be determined.

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