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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2/x = (16-(6*x))/5 // - (16-(6*x))/5
2/x-((16-(6*x))/5) = 0
2/x-((16-6*x)/5) = 0
(-1*(16-6*x))/5+2/x = 0
(-1*x*(16-6*x))/(5*x)+(2*5)/(5*x) = 0
2*5-1*x*(16-6*x) = 0
6*x^2-16*x+10 = 0
6*x^2-16*x+10 = 0
2*(3*x^2-8*x+5) = 0
3*x^2-8*x+5 = 0
DELTA = (-8)^2-(3*4*5)
DELTA = 4
DELTA > 0
x = (4^(1/2)+8)/(2*3) or x = (8-4^(1/2))/(2*3)
x = 5/3 or x = 1
2*(x-1)*(x-5/3) = 0
(2*(x-1)*(x-5/3))/(5*x) = 0
(2*(x-1)*(x-5/3))/(5*x) = 0 // * 5*x
2*(x-1)*(x-5/3) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-5/3 )
x-5/3 = 0 // + 5/3
x = 5/3
x in { 1, 5/3 }
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