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The domain will be all the number that do not make the denominator 0
So first factor the denominator and you have
5x(x^2-8x+12)
Factor one more time
5x(x-6)(x-2)
We want to make sure that this is not zero since we are not allowed to divide by zero
So the domain is all real numbers except 0, 6 and 2
since if you plug any of those in for x the denominator will become 0

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