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D( x )
x-5 = 0
x = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x = 0
x = 0
x in (-oo:0) U (0:5) U (5:+oo)
14/(x-5)+(3*x+2)/x = 0
(14*x)/(x*(x-5))+((3*x+2)*(x-5))/(x*(x-5)) = 0
(3*x+2)*(x-5)+14*x = 0
3*x^2+x-10 = 0
3*x^2+x-10 = 0
3*x^2+x-10 = 0
DELTA = 1^2-(-10*3*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)-1)/(2*3) or x = (-121^(1/2)-1)/(2*3)
x = 5/3 or x = -2
(x+2)*(x-5/3) = 0
((x+2)*(x-5/3))/(x*(x-5)) = 0
((x+2)*(x-5/3))/(x*(x-5)) = 0 // * x*(x-5)
(x+2)*(x-5/3) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-5/3 )
x-5/3 = 0 // + 5/3
x = 5/3
x in { -2, 5/3 }
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