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D( x )
x+5 = 0
x-2 = 0
(x+5)*(x-2) = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
(x+5)*(x-2) = 0
(x+5)*(x-2) = 0
( x+5 )
x+5 = 0 // - 5
x = -5
( x-2 )
x-2 = 0 // + 2
x = 2
x in (-oo:-5) U (-5:2) U (2:+oo)
5/(x-2)+3/(x+5) = 11/((x+5)*(x-2)) // - 11/((x+5)*(x-2))
5/(x-2)+3/(x+5)-(11/((x+5)*(x-2))) = 0
5/(x-2)+3/(x+5)-11*(x-2)^-1*(x+5)^-1 = 0
5/(x-2)+3/(x+5)-11/((x-2)*(x+5)) = 0
(5*(x+5))/((x-2)*(x+5))+(3*(x-2))/((x-2)*(x+5))-11/((x-2)*(x+5)) = 0
5*(x+5)+3*(x-2)-11 = 0
8*x-11+19 = 0
8*x+8 = 0
(8*x+8)/((x-2)*(x+5)) = 0
(8*x+8)/((x-2)*(x+5)) = 0 // * (x-2)*(x+5)
8*x+8 = 0
8*x+8 = 0 // - 8
8*x = -8 // : 8
x = -8/8
x = -1
x = -1
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