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D( x )
x-6 = 0
x+4 = 0
x^2-(2*x)-24 = 0
x-6 = 0
x-6 = 0
x-6 = 0 // + 6
x = 6
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x^2-(2*x)-24 = 0
x^2-(2*x)-24 = 0
x^2-2*x-24 = 0
x^2-2*x-24 = 0
DELTA = (-2)^2-(-24*1*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)+2)/(1*2) or x = (2-100^(1/2))/(1*2)
x = 6 or x = -4
x in (-oo:-4) U (-4:6) U (6:+oo)
x/(x+4)-(5/(x-6)) = (-21*x-44)/(x^2-(2*x)-24) // - (-21*x-44)/(x^2-(2*x)-24)
x/(x+4)-(5/(x-6))-((-21*x-44)/(x^2-(2*x)-24)) = 0
x/(x+4)-5*(x-6)^-1-((-21*x-44)/(x^2-2*x-24)) = 0
x/(x+4)-5/(x-6)+(-1*(-21*x-44))/(x^2-2*x-24) = 0
x^2-2*x-24 = 0
x^2-2*x-24 = 0
x^2-2*x-24 = 0
DELTA = (-2)^2-(-24*1*4)
DELTA = 100
DELTA > 0
x = (100^(1/2)+2)/(1*2) or x = (2-100^(1/2))/(1*2)
x = 6 or x = -4
(x+4)*(x-6) = 0
x/(x+4)-5/(x-6)+(-1*(-21*x-44))/((x+4)*(x-6)) = 0
(x*(x-6))/((x+4)*(x-6))+(-5*(x+4))/((x+4)*(x-6))+(-1*(-21*x-44))/((x+4)*(x-6)) = 0
x*(x-6)-5*(x+4)-1*(-21*x-44) = 0
x^2-11*x+21*x-20+44 = 0
x^2+10*x+24 = 0
x^2+10*x+24 = 0
x^2+10*x+24 = 0
DELTA = 10^2-(1*4*24)
DELTA = 4
DELTA > 0
x = (4^(1/2)-10)/(1*2) or x = (-4^(1/2)-10)/(1*2)
x = -4 or x = -6
(x+6)*(x+4) = 0
((x+6)*(x+4))/((x+4)*(x-6)) = 0
((x+6)*(x+4))/((x+4)*(x-6)) = 0 // * (x+4)*(x-6)
(x+6)*(x+4) = 0
( x+4 )
x+4 = 0 // - 4
x = -4
( x+6 )
x+6 = 0 // - 6
x = -6
x in { -4}
x = -6
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