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D( x )
x+6 = 0
x+3 = 0
x^2+9*x+18 = 0
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x^2+9*x+18 = 0
x^2+9*x+18 = 0
x^2+9*x+18 = 0
DELTA = 9^2-(1*4*18)
DELTA = 9
DELTA > 0
x = (9^(1/2)-9)/(1*2) or x = (-9^(1/2)-9)/(1*2)
x = -3 or x = -6
x in (-oo:-6) U (-6:-3) U (-3:+oo)
6/(x+3)+x*((9/(x+6))/5)+21/(x^2+9*x+18) = 0
6/(x+3)+(9*x)/(5*(x+6))+21/(x^2+9*x+18) = 0
x^2+9*x+18 = 0
x^2+9*x+18 = 0
x^2+9*x+18 = 0
DELTA = 9^2-(1*4*18)
DELTA = 9
DELTA > 0
x = (9^(1/2)-9)/(1*2) or x = (-9^(1/2)-9)/(1*2)
x = -3 or x = -6
(x+6)*(x+3) = 0
6/(x+3)+(9*x)/(5*(x+6))+21/((x+6)*(x+3)) = 0
(5*6*(x+6))/(5*(x+3)*(x+6))+(9*x*(x+3))/(5*(x+3)*(x+6))+(5*21)/(5*(x+3)*(x+6)) = 0
5*6*(x+6)+9*x*(x+3)+5*21 = 0
9*x^2+57*x+105+180 = 0
9*x^2+57*x+285 = 0
9*x^2+57*x+285 = 0
3*(3*x^2+19*x+95) = 0
3*x^2+19*x+95 = 0
DELTA = 19^2-(3*4*95)
DELTA = -779
DELTA < 0
3 = 0
3/(5*(x+3)*(x+6)) = 0
3/(5*(x+3)*(x+6)) = 0 // * 5*(x+3)*(x+6)
3 = 0
x belongs to the empty set
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