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D( x )
x+4 = 0
x = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x = 0
x = 0
x in (-oo:-4) U (-4:0) U (0:+oo)
1/(x+4)+1/x = 14/45 // - 14/45
1/(x+4)+1/x-(14/45) = 0
1/(x+4)+1/x-14/45 = 0
(1*45*x)/(45*x*(x+4))+(1*45*(x+4))/(45*x*(x+4))+(-14*x*(x+4))/(45*x*(x+4)) = 0
1*45*(x+4)-14*x*(x+4)+1*45*x = 0
90*x-14*x^2-56*x+180 = 0
34*x-14*x^2+180 = 0
34*x-14*x^2+180 = 0
2*(17*x-7*x^2+90) = 0
17*x-7*x^2+90 = 0
DELTA = 17^2-(-7*4*90)
DELTA = 2809
DELTA > 0
x = (2809^(1/2)-17)/(-7*2) or x = (-2809^(1/2)-17)/(-7*2)
x = -18/7 or x = 5
2*(x+18/7)*(x-5) = 0
(2*(x+18/7)*(x-5))/(45*x*(x+4)) = 0
(2*(x+18/7)*(x-5))/(45*x*(x+4)) = 0 // * 45*x*(x+4)
2*(x+18/7)*(x-5) = 0
( x+18/7 )
x+18/7 = 0 // - 18/7
x = -18/7
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -18/7, 5 }
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