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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)
5/x+3/x-2+6 = (16/(x+6))*(x-2) // - (16/(x+6))*(x-2)
5/x-((16/(x+6))*(x-2))+3/x-2+6 = 0
5/x-16*(x-2)*(x+6)^-1+3/x-2+6 = 0
(-16*(x-2))/(x+6)+5/x+3/x-2+6 = 0
(-16*x*(x-2))/(x*(x+6))+(5*(x+6))/(x*(x+6))+(3*(x+6))/(x*(x+6))+(-2*x*(x+6))/(x*(x+6))+(6*x*(x+6))/(x*(x+6)) = 0
5*(x+6)-16*x*(x-2)+3*(x+6)-2*x*(x+6)+6*x*(x+6) = 0
6*x^2-16*x^2-2*x^2+37*x+3*x-12*x+36*x+18+30 = 0
6*x^2-16*x^2-2*x^2+40*x-12*x+36*x+48 = 0
6*x^2-18*x^2+28*x+36*x+48 = 0
64*x-12*x^2+48 = 0
64*x-12*x^2+48 = 0
4*(16*x-3*x^2+12) = 0
16*x-3*x^2+12 = 0
DELTA = 16^2-(-3*4*12)
DELTA = 400
DELTA > 0
x = (400^(1/2)-16)/(-3*2) or x = (-400^(1/2)-16)/(-3*2)
x = -2/3 or x = 6
4*(x+2/3)*(x-6) = 0
(4*(x+2/3)*(x-6))/(x*(x+6)) = 0
(4*(x+2/3)*(x-6))/(x*(x+6)) = 0 // * x*(x+6)
4*(x+2/3)*(x-6) = 0
( x+2/3 )
x+2/3 = 0 // - 2/3
x = -2/3
( x-6 )
x-6 = 0 // + 6
x = 6
x in { -2/3, 6 }
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