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D( x )
x-7 = 0
x^2-49 = 0
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)
30/(x^2-49)+(x-1)/(x-7) = 1 // - 1
30/(x^2-49)+(x-1)/(x-7)-1 = 0
(30*(x-7))/((x^2-49)*(x-7))+((x-1)*(x^2-49))/((x^2-49)*(x-7))+(-1*(x^2-49)*(x-7))/((x^2-49)*(x-7)) = 0
30*(x-7)+(x-1)*(x^2-49)-1*(x^2-49)*(x-7) = 0
x^3-x^3-x^2+7*x^2-19*x+49*x-343-161 = 0
6*x^2+30*x-504 = 0
6*x^2+30*x-504 = 0
6*(x^2+5*x-84) = 0
x^2+5*x-84 = 0
DELTA = 5^2-(-84*1*4)
DELTA = 361
DELTA > 0
x = (361^(1/2)-5)/(1*2) or x = (-361^(1/2)-5)/(1*2)
x = 7 or x = -12
6*(x+12)*(x-7) = 0
(6*(x+12)*(x-7))/((x^2-49)*(x-7)) = 0
(6*(x+12)*(x-7))/((x^2-49)*(x-7)) = 0 // * (x^2-49)*(x-7)
6*(x+12)*(x-7) = 0
( x+12 )
x+12 = 0 // - 12
x = -12
( x-7 )
x-7 = 0 // + 7
x = 7
x in { 7}
x = -12
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