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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:5) U (5:7) U (7:+oo)
-7/(x-7)-(6/(x-5)) = 1 // - 1
-7/(x-7)-(6/(x-5))-1 = 0
-7/(x-7)-6*(x-5)^-1-1 = 0
-7/(x-7)-6/(x-5)-1 = 0
(-7*(x-5))/((x-7)*(x-5))+(-6*(x-7))/((x-7)*(x-5))+(-1*(x-7)*(x-5))/((x-7)*(x-5)) = 0
-7*(x-5)-6*(x-7)-1*(x-7)*(x-5) = 0
12*x-x^2-13*x-35+77 = 0
42-x^2-x = 0
42-x^2-x = 0
42-x^2-x = 0
DELTA = (-1)^2-(-1*4*42)
DELTA = 169
DELTA > 0
x = (169^(1/2)+1)/(-1*2) or x = (1-169^(1/2))/(-1*2)
x = -7 or x = 6
(x+7)*(x-6) = 0
((x+7)*(x-6))/((x-7)*(x-5)) = 0
((x+7)*(x-6))/((x-7)*(x-5)) = 0 // * (x-7)*(x-5)
(x+7)*(x-6) = 0
( x+7 )
x+7 = 0 // - 7
x = -7
( x-6 )
x-6 = 0 // + 6
x = 6
x in { -7, 6 }
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