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x in (-oo:+oo)
(8/9)*x^(1/9)-((17/9)*x^(8/9)) = 0
(-17/9)*x^(8/9)+(8/9)*x^(1/9) = 0
8/9*x^(1/9)-17/9*x^(8/9) = 0
t_1 = x^(1/9)
8/9*t_1^1-17/9*t_1^8 = 0
8/9*t_1-17/9*t_1^8 = 0
1/9*t_1*(8-17*t_1^7) = 0
-17*t_1^7 = -8 // : -17
t_1^7 = 8/17
t_1^7 = 8/17 // ^ 1/7
t_1 = (8/17)^(1/7)
t_1/9 = 0
1/9*t_1 = 0 // : 1/9
t_1 = 0
t_1 = (8/17)^(1/7)
x^(1/9)-(8/17)^(1/7) = 0
1*x^(1/9) = (8/17)^(1/7) // : 1
x^(1/9) = (8/17)^(1/7)
x^(1/9) = (8/17)^(1/7) // ^ 9
x = (8/17)^(9/7)
t_1 = 0
x^(1/9)+0 = 0
x^(1/9) = 0
1*x^(1/9) = 0 // : 1
x^(1/9) = 0
x = 0
x in { (8/17)^(9/7), 0 }
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