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D( x )
x+5 = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
x in (-oo:-5) U (-5:+oo)
(6*x^2+33*x+14)/(x+5) = 0
6*x^2+33*x+14 = 0
6*x^2+33*x+14 = 0
DELTA = 33^2-(4*6*14)
DELTA = 753
DELTA > 0
x = (753^(1/2)-33)/(2*6) or x = (-753^(1/2)-33)/(2*6)
x = (753^(1/2)-33)/12 or x = (-(753^(1/2)+33))/12
(x+(753^(1/2)+33)/12)*(x-((753^(1/2)-33)/12)) = 0
((x+(753^(1/2)+33)/12)*(x-((753^(1/2)-33)/12)))/(x+5) = 0
( x+(753^(1/2)+33)/12 )
x+(753^(1/2)+33)/12 = 0 // - (753^(1/2)+33)/12
x = -((753^(1/2)+33)/12)
( x-((753^(1/2)-33)/12) )
x-((753^(1/2)-33)/12) = 0 // + (753^(1/2)-33)/12
x = (753^(1/2)-33)/12
x in { -((753^(1/2)+33)/12), (753^(1/2)-33)/12 }
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