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D( x )
x-5 = 0
x+4 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x in (-oo:-4) U (-4:5) U (5:+oo)
(5*x)/(x+4)+(3*x)/(x-5) = 0
(5*x*(x-5))/((x+4)*(x-5))+(3*x*(x+4))/((x+4)*(x-5)) = 0
5*x*(x-5)+3*x*(x+4) = 0
8*x^2-13*x = 0
8*x^2-13*x = 0
x*(8*x-13) = 0
8*x-13 = 0 // + 13
8*x = 13 // : 8
x = 13/8
x*(x-13/8) = 0
(x*(x-13/8))/((x+4)*(x-5)) = 0
(x*(x-13/8))/((x+4)*(x-5)) = 0 // * (x+4)*(x-5)
x*(x-13/8) = 0
( x-13/8 )
x-13/8 = 0 // + 13/8
x = 13/8
( x )
x = 0
x in { 13/8, 0 }
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