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D( x )
3*x+1 = 0
3*x+1 = 0
3*x+1 = 0
3*x+1 = 0 // - 1
3*x = -1 // : 3
x = -1/3
x in (-oo:-1/3) U (-1/3:+oo)
(3*x^2+25*x+8)/(3*x+1) = 0
3*x^2+25*x+8 = 0
3*x^2+25*x+8 = 0
DELTA = 25^2-(3*4*8)
DELTA = 529
DELTA > 0
x = (529^(1/2)-25)/(2*3) or x = (-529^(1/2)-25)/(2*3)
x = -1/3 or x = -8
(x+8)*(x+1/3) = 0
((x+8)*(x+1/3))/(3*x+1) = 0
( x+1/3 )
x+1/3 = 0 // - 1/3
x = -1/3
( x+8 )
x+8 = 0 // - 8
x = -8
x in { -1/3}
x = -8
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