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D( x )
x-5 = 0
x+7 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x+7 = 0
x+7 = 0
x+7 = 0 // - 7
x = -7
x in (-oo:-7) U (-7:5) U (5:+oo)
(2*x)/(x+7)+(3*x)/(x-5) = 0
(2*x*(x-5))/((x+7)*(x-5))+(3*x*(x+7))/((x+7)*(x-5)) = 0
2*x*(x-5)+3*x*(x+7) = 0
5*x^2+11*x = 0
5*x^2+11*x = 0
x*(5*x+11) = 0
5*x+11 = 0 // - 11
5*x = -11 // : 5
x = -11/5
x*(x+11/5) = 0
(x*(x+11/5))/((x+7)*(x-5)) = 0
(x*(x+11/5))/((x+7)*(x-5)) = 0 // * (x+7)*(x-5)
x*(x+11/5) = 0
( x+11/5 )
x+11/5 = 0 // - 11/5
x = -11/5
( x )
x = 0
x in { -11/5, 0 }
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