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Algebra Level 3

How many real solutions are there to

x840x7+700x67000x5+43750x4175000x3+437500x2625000x+390625x5=0?\dfrac{x^8-40x^7+700x^6-7000x^5+43750x^4-175000x^3+437500x^2-625000x+390625}{x-5} = 0?

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