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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
2*(16/x-3) = 5*x // - 5*x
2*(16/x-3)-(5*x) = 0
2*(16/x-3)-5*x = 0
2*(16*x^-1-3)-5*x = 0
2*(16*x^-1-3)-5*x = 0
32*x^-1-5*x-6 = 0
32*x^-1-5*x-6 = 0
32*x^-1-5*x^1-6*x^0 = 0
(32*x^0-5*x^2-6*x^1)/(x^1) = 0 // * x^2
x^1*(32*x^0-5*x^2-6*x^1) = 0
x^1
32-5*x^2-6*x = 0
32-5*x^2-6*x = 0
DELTA = (-6)^2-(-5*4*32)
DELTA = 676
DELTA > 0
x = (676^(1/2)+6)/(-5*2) or x = (6-676^(1/2))/(-5*2)
x = -16/5 or x = 2
x in { -16/5, 2}
(x+16/5)*(x-2) = 0
(x+16/5)*(x-2) = 0
( x+16/5 )
x+16/5 = 0 // - 16/5
x = -16/5
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -16/5, 2 }
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