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D( x )
x+6 = 0
x+6 = 0
x+6 = 0
x+6 = 0 // - 6
x = -6
x in (-oo:-6) U (-6:+oo)
(x+4)/(x+6)+x/3 = (2*x+10)/(x+6) // - (2*x+10)/(x+6)
(x+4)/(x+6)-((2*x+10)/(x+6))+x/3 = 0
(x+4)/(x+6)+(-1*(2*x+10))/(x+6)+x/3 = 0
(3*(x+4))/(3*(x+6))+(-1*3*(2*x+10))/(3*(x+6))+(x*(x+6))/(3*(x+6)) = 0
3*(x+4)-1*3*(2*x+10)+x*(x+6) = 0
x^2-3*x+6*x-18 = 0
x^2+3*x-18 = 0
x^2+3*x-18 = 0
x^2+3*x-18 = 0
DELTA = 3^2-(-18*1*4)
DELTA = 81
DELTA > 0
x = (81^(1/2)-3)/(1*2) or x = (-81^(1/2)-3)/(1*2)
x = 3 or x = -6
(x+6)*(x-3) = 0
((x+6)*(x-3))/(3*(x+6)) = 0
((x+6)*(x-3))/(3*(x+6)) = 0 // * 3*(x+6)
(x+6)*(x-3) = 0
( x+6 )
x+6 = 0 // - 6
x = -6
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -6}
x = 3
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