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

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


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

Multiply F * x
xF = (x + -3)(x + -4i)(x + -4i)

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

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

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

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

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

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

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

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

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

Combine like terms: 12ix + 12ix = 24ix
xF = (24ix + -4ix2 + -4ix2 + -48i2 + 16i2x + -3x2 + x3)

Combine like terms: -4ix2 + -4ix2 = -8ix2
xF = (24ix + -8ix2 + -48i2 + 16i2x + -3x2 + x3)

Solving
xF = 24ix + -8ix2 + -48i2 + 16i2x + -3x2 + x3

Solving for variable 'x'.

Reorder the terms:
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = 24ix + -8ix2 + -48i2 + 16i2x + -3x2 + x3 + -24ix + 8ix2 + 48i2 + -16i2x + 3x2 + -1x3

Reorder the terms:
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = 24ix + -24ix + -8ix2 + 8ix2 + -48i2 + 48i2 + 16i2x + -16i2x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: 24ix + -24ix = 0
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = 0 + -8ix2 + 8ix2 + -48i2 + 48i2 + 16i2x + -16i2x + -3x2 + 3x2 + x3 + -1x3
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = -8ix2 + 8ix2 + -48i2 + 48i2 + 16i2x + -16i2x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: -8ix2 + 8ix2 = 0
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = 0 + -48i2 + 48i2 + 16i2x + -16i2x + -3x2 + 3x2 + x3 + -1x3
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = -48i2 + 48i2 + 16i2x + -16i2x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: -48i2 + 48i2 = 0
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = 0 + 16i2x + -16i2x + -3x2 + 3x2 + x3 + -1x3
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = 16i2x + -16i2x + -3x2 + 3x2 + x3 + -1x3

Combine like terms: 16i2x + -16i2x = 0
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = 0 + -3x2 + 3x2 + x3 + -1x3
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = -3x2 + 3x2 + x3 + -1x3

Combine like terms: -3x2 + 3x2 = 0
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = 0 + x3 + -1x3
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-24ix + 8ix2 + 48i2 + -16i2x + xF + 3x2 + -1x3 = 0

The solution to this equation could not be determined.

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