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D( x )
x+7 = 0
(7*x)/(x^2)-49 = 0
x^2 = 0
x+7 = 0
x+7 = 0
x+7 = 0 // - 7
x = -7
(7*x)/(x^2)-49 = 0
(7*x)/(x^2)-49 = 0
7*x^-1 = 49 // : 7
x^-1 = 7
-1 < 0
1/(x^1) = 7 // * x^1
1 = 7*x^1 // : 7
1/7 = x^1
x = 1/7
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:-7) U (-7:0) U (0:1/7) U (1/7:+oo)
((7-x)/(x+7))/((7*x)/(x^2)-49) = x // - x
((7-x)/(x+7))/((7*x)/(x^2)-49)-x = 0
(7-x)/((x+7)*(7*x^-1-49))-x = 0
(7-x)/((x+7)*(7*x^-1-49))+(-x*(x+7)*(7*x^-1-49))/((x+7)*(7*x^-1-49)) = 0
7-x*(x+7)*(7*x^-1-49)-x = 0
49*x^2+335*x-42 = 0
49*x^2+335*x-42 = 0
49*x^2+335*x-42 = 0
DELTA = 335^2-(-42*4*49)
DELTA = 120457
DELTA > 0
x = (120457^(1/2)-335)/(2*49) or x = (-120457^(1/2)-335)/(2*49)
x = (120457^(1/2)-335)/98 or x = (-(120457^(1/2)+335))/98
(x+(120457^(1/2)+335)/98)*(x-((120457^(1/2)-335)/98)) = 0
((x+(120457^(1/2)+335)/98)*(x-((120457^(1/2)-335)/98)))/((x+7)*(7*x^-1-49)) = 0
((x+(120457^(1/2)+335)/98)*(x-((120457^(1/2)-335)/98)))/((x+7)*(7*x^-1-49)) = 0 // * (x+7)*(7*x^-1-49)
(x+(120457^(1/2)+335)/98)*(x-((120457^(1/2)-335)/98)) = 0
( x+(120457^(1/2)+335)/98 )
x+(120457^(1/2)+335)/98 = 0 // - (120457^(1/2)+335)/98
x = -((120457^(1/2)+335)/98)
( x-((120457^(1/2)-335)/98) )
x-((120457^(1/2)-335)/98) = 0 // + (120457^(1/2)-335)/98
x = (120457^(1/2)-335)/98
x in { -((120457^(1/2)+335)/98), (120457^(1/2)-335)/98 }
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