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D( x )
x+7 = 0
x-7 = 0
x^2-49 = 0
x+7 = 0
x+7 = 0
x+7 = 0 // - 7
x = -7
x-7 = 0
x-7 = 0
x-7 = 0 // + 7
x = 7
x^2-49 = 0
x^2-49 = 0
1*x^2 = 49 // : 1
x^2 = 49
x^2 = 49 // ^ 1/2
abs(x) = 7
x = 7 or x = -7
x in (-oo:-7) U (-7:7) U (7:+oo)
5/(x+7)-(2/(x-7)) = (10*x)/(x^2-49) // - (10*x)/(x^2-49)
5/(x+7)-(2/(x-7))-((10*x)/(x^2-49)) = 0
5/(x+7)-2*(x-7)^-1-10*x*(x^2-49)^-1 = 0
5/(x+7)-2/(x-7)+(-10*x)/(x^2-49) = 0
(5*(x-7)*(x^2-49))/((x+7)*(x-7)*(x^2-49))+(-2*(x+7)*(x^2-49))/((x+7)*(x-7)*(x^2-49))+(-10*x*(x+7)*(x-7))/((x+7)*(x-7)*(x^2-49)) = 0
5*(x-7)*(x^2-49)-2*(x+7)*(x^2-49)-10*x*(x+7)*(x-7) = 0
3*x^3-10*x^3-49*x^2-147*x+490*x+2401 = 0
343*x-7*x^3-49*x^2+2401 = 0
343*x-7*x^3-49*x^2+2401 = 0
7*(49*x-x^3-7*x^2+343) = 0
49*x-x^3-7*x^2+343
7*(49-x^2)-x^3+49*x
x*(49-x^2)+7*(49-x^2)
(x+7)*(49-x^2)
7*(x+7)*(49-x^2) = 0
(7*(x+7)*(49-x^2))/((x+7)*(x-7)*(x^2-49)) = 0
(7*(x+7)*(49-x^2))/((x+7)*(x-7)*(x^2-49)) = 0 // * (x+7)*(x-7)*(x^2-49)
7*(x+7)*(49-x^2) = 0
( 49-x^2 )
-1*x^2 = -49 // : -1
x^2 = 49
x^2 = 49 // ^ 1/2
abs(x) = 7
x = 7 or x = -7
( x+7 )
x+7 = 0 // - 7
x = -7
x in { 7}
x in { -7}
x belongs to the empty set
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