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D( x )
x = 0
x+6 = 0
x = 0
x = 0
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x in (-oo:-6) U (-6:0) U (0:+oo)
1/x+2/x+3+6 = (-3/(x+6))*(x+3) // - (-3/(x+6))*(x+3)
1/x-((-3/(x+6))*(x+3))+2/x+3+6 = 0
3*(x+3)*(x+6)^-1+1/x+2/x+3+6 = 0
(3*(x+3))/(x+6)+1/x+2/x+3+6 = 0
(3*x*(x+3))/(x*(x+6))+(1*(x+6))/(x*(x+6))+(2*(x+6))/(x*(x+6))+(3*x*(x+6))/(x*(x+6))+(6*x*(x+6))/(x*(x+6)) = 0
3*x*(x+3)+1*(x+6)+2*(x+6)+3*x*(x+6)+6*x*(x+6) = 0
3*x^2+3*x^2+6*x^2+10*x+2*x+18*x+36*x+6+12 = 0
3*x^2+3*x^2+6*x^2+12*x+18*x+36*x+18 = 0
6*x^2+6*x^2+30*x+36*x+18 = 0
12*x^2+66*x+18 = 0
12*x^2+66*x+18 = 0
6*(2*x^2+11*x+3) = 0
2*x^2+11*x+3 = 0
DELTA = 11^2-(2*3*4)
DELTA = 97
DELTA > 0
x = (97^(1/2)-11)/(2*2) or x = (-97^(1/2)-11)/(2*2)
x = (97^(1/2)-11)/4 or x = (-(97^(1/2)+11))/4
6*(x+(97^(1/2)+11)/4)*(x-((97^(1/2)-11)/4)) = 0
(6*(x+(97^(1/2)+11)/4)*(x-((97^(1/2)-11)/4)))/(x*(x+6)) = 0
(6*(x+(97^(1/2)+11)/4)*(x-((97^(1/2)-11)/4)))/(x*(x+6)) = 0 // * x*(x+6)
6*(x+(97^(1/2)+11)/4)*(x-((97^(1/2)-11)/4)) = 0
( x+(97^(1/2)+11)/4 )
x+(97^(1/2)+11)/4 = 0 // - (97^(1/2)+11)/4
x = -((97^(1/2)+11)/4)
( x-((97^(1/2)-11)/4) )
x-((97^(1/2)-11)/4) = 0 // + (97^(1/2)-11)/4
x = (97^(1/2)-11)/4
x in { -((97^(1/2)+11)/4), (97^(1/2)-11)/4 }
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