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D( x )
3*x^2+30*x+72 = 0
3*x^2+30*x+72 = 0
3*x^2+30*x+72 = 0
3*x^2+30*x+72 = 0
DELTA = 30^2-(3*4*72)
DELTA = 36
DELTA > 0
x = (36^(1/2)-30)/(2*3) or x = (-36^(1/2)-30)/(2*3)
x = -4 or x = -6
x in (-oo:-6) U (-6:-4) U (-4:+oo)
(x^2+6*x+18)/(3*x^2+30*x+72) = 0
x^2+6*x+18 = 0
x^2+6*x+18 = 0
DELTA = 6^2-(1*4*18)
DELTA = -36
DELTA < 0
1 = 0
3*x^2+30*x+72 = 0
3*(x^2+10*x+24) = 0
x^2+10*x+24 = 0
DELTA = 10^2-(1*4*24)
DELTA = 4
DELTA > 0
x = (4^(1/2)-10)/(1*2) or x = (-4^(1/2)-10)/(1*2)
x = -4 or x = -6
3*(x+6)*(x+4) = 0
1/(3*(x+6)*(x+4)) = 0
x belongs to the empty set
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