Are you smarter than me? 36

Algebra Level 4

Find the number of real of solutions of

x636x5+540x44320x3+19440x246656x+46656x6=0.\dfrac{x^6-36 x^5+540 x^4-4320 x^3+19440 x^2-46656 x+46656}{x-6}=0.

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