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x in (-oo:+oo)
(3*x^9)/2 = 27*x // - 27*x
(3*x^9)/2-(27*x) = 0
(3*x^9)/2-27*x = 0
3/2*x^9-27*x = 0
3*x*(1/2*x^8-9) = 0
1/2*x^8 = 9 // : 1/2
x^8 = 18
x^8 = 18 // ^ 1/8
abs(x) = 18^(1/8)
x = 18^(1/8) or x = -18^(1/8)
3*x = 0
3*x = 0 // : 3
x = 0
x in { 18^(1/8), -18^(1/8), 0 }
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