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6*x^(2/3)-47^(1/3)-8 = 0
6*x^(2/3) = 47^(1/3)+8 // : 6
x^(2/3) = (47^(1/3)+8)/6
x^(2/3) = (47^(1/3)+8)/6 // ^ 3
x^2 = ((47^(1/3)+8)^3)/216 // ^ 1/2
abs(x) = ((47^(1/3)+8)^(3/2))/(6*6^(1/2))
x = ((47^(1/3)+8)^(3/2))/(6*6^(1/2)) or x = -(((47^(1/3)+8)^(3/2))/(6*6^(1/2)))
x in { ((47^(1/3)+8)^(3/2))/(6*6^(1/2)), -(((47^(1/3)+8)^(3/2))/(6*6^(1/2))) }
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