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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(5/2)*x+2+12 = -8/x-6 // + -8/x-6
(5/2)*x-(-8/x)+2+6+12 = 0
(5/2)*x+8*x^-1+2+6+12 = 0
5/2*x^1+8*x^-1+20*x^0 = 0
(5/2*x^2+20*x^1+8*x^0)/(x^1) = 0 // * x^2
x^1*(5/2*x^2+20*x^1+8*x^0) = 0
x^1
(5/2)*x^2+20*x+8 = 0
(5/2)*x^2+20*x+8 = 0
DELTA = 20^2-(4*8*(5/2))
DELTA = 320
DELTA > 0
x = (320^(1/2)-20)/(2*(5/2)) or x = (-320^(1/2)-20)/(2*(5/2))
x = (8*5^(1/2)-20)/5 or x = (-8*5^(1/2)-20)/5
x in { (-8*5^(1/2)-20)/5, (8*5^(1/2)-20)/5}
x in { (-8*5^(1/2)-20)/5, (8*5^(1/2)-20)/5 }
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