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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(x-3)/2 = 5/x // - 5/x
(x-3)/2-(5/x) = 0
(x-3)/2-5*x^-1 = 0
(x-3)/2-5/x = 0
(x*(x-3))/(2*x)+(-5*2)/(2*x) = 0
x*(x-3)-5*2 = 0
x^2-3*x-10 = 0
x^2-3*x-10 = 0
x^2-3*x-10 = 0
DELTA = (-3)^2-(-10*1*4)
DELTA = 49
DELTA > 0
x = (49^(1/2)+3)/(1*2) or x = (3-49^(1/2))/(1*2)
x = 5 or x = -2
(x+2)*(x-5) = 0
((x+2)*(x-5))/(2*x) = 0
((x+2)*(x-5))/(2*x) = 0 // * 2*x
(x+2)*(x-5) = 0
( x+2 )
x+2 = 0 // - 2
x = -2
( x-5 )
x-5 = 0 // + 5
x = 5
x in { -2, 5 }
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