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((100*x^8)/20)*x^8-24*x^7 = 0
5*x^16-24*x^7 = 0
x^7*(5*x^9-24) = 0
5*x^9 = 24 // : 5
x^9 = 24/5
x^9 = 24/5 // ^ 1/9
x = (24/5)^(1/9)
x^7 = 0
1*x^7 = 0 // : 1
x^7 = 0
x = 0
x in { (24/5)^(1/9), 0 }
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