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I wanna know how to solve this equation: $-2x^3 +10x^2 -17x +8=(2x^2)(5x -x^3)^{1/3}$

I have some trouble to do that and I'd glad with any help I may get.

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    I am curious. How did you come across this equation?2010-11-04
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    I´m preparing to a proof that has high reputation, then i collect questions in forums which have this purpose, that was the way i found out that exercise.In addition, the proof is high school level. I´m not sure that equation has some solution based in that grade of knowledge. Sorry about my english.2010-11-04

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