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D( x )
x+5 = 0
x-3 = 0
x+5 = 0
x+5 = 0
x+5 = 0 // - 5
x = -5
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x in (-oo:-5) U (-5:3) U (3:+oo)
1/(x-3)+1/(x+5) = 3/5 // - 3/5
1/(x-3)+1/(x+5)-(3/5) = 0
1/(x-3)+1/(x+5)-3/5 = 0
(1*5*(x+5))/(5*(x-3)*(x+5))+(1*5*(x-3))/(5*(x-3)*(x+5))+(-3*(x-3)*(x+5))/(5*(x-3)*(x+5)) = 0
1*5*(x+5)+1*5*(x-3)-3*(x-3)*(x+5) = 0
10*x-3*x^2-6*x+10+45 = 0
4*x-3*x^2+55 = 0
4*x-3*x^2+55 = 0
4*x-3*x^2+55 = 0
DELTA = 4^2-(-3*4*55)
DELTA = 676
DELTA > 0
x = (676^(1/2)-4)/(-3*2) or x = (-676^(1/2)-4)/(-3*2)
x = -11/3 or x = 5
(x+11/3)*(x-5) = 0
((x+11/3)*(x-5))/(5*(x-3)*(x+5)) = 0
((x+11/3)*(x-5))/(5*(x-3)*(x+5)) = 0 // * 5*(x-3)*(x+5)
(x+11/3)*(x-5) = 0
( x+11/3 )
x+11/3 = 0 // - 11/3
x = -11/3
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -11/3, 5 }
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