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D( x )
30*x^2-(12*x) = 0
30*x^2-(12*x) = 0
30*x^2-(12*x) = 0
30*x^2-12*x = 0
30*x^2-12*x = 0
DELTA = (-12)^2-(0*4*30)
DELTA = 144
DELTA > 0
x = (144^(1/2)+12)/(2*30) or x = (12-144^(1/2))/(2*30)
x = 2/5 or x = 0
x in (-oo:0) U (0:2/5) U (2/5:+oo)
(48*x^3)/(30*x^2-(12*x)) = 0
(48*x^3)/(30*x^2-12*x) = 0
30*x^2-12*x = 0
6*x*(5*x-2) = 0
5*x-2 = 0 // + 2
5*x = 2 // : 5
x = 2/5
6*x*(x-2/5) = 0
(48*x^3)/(6*x*(x-2/5)) = 0
48*x^3 = 0 // : 48
x^3 = 0
x = 0
x in { 0}
x belongs to the empty set
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