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D( x )
5-(2*x) = 0
5-(2*x) = 0
5-(2*x) = 0
5-2*x = 0
5-2*x = 0 // - 5
-2*x = -5 // : -2
x = -5/(-2)
x = 5/2
x in (-oo:5/2) U (5/2:+oo)
3*(5-(2*x)) = 1/(5-(2*x)) // - 1/(5-(2*x))
3*(5-(2*x))-(1/(5-(2*x))) = 0
3*(5-2*x)-(5-2*x)^-1 = 0
3*(5-2*x)-1/(5-2*x) = 0
(3*(5-2*x)^2)/(5-2*x)-1/(5-2*x) = 0
3*(5-2*x)^2-1 = 0
12*x^2-60*x+74 = 0
12*x^2-60*x+74 = 0
2*(6*x^2-30*x+37) = 0
6*x^2-30*x+37 = 0
DELTA = (-30)^2-(4*6*37)
DELTA = 12
DELTA > 0
x = (12^(1/2)+30)/(2*6) or x = (30-12^(1/2))/(2*6)
x = (2*3^(1/2)+30)/12 or x = (30-2*3^(1/2))/12
2*(x-((30-2*3^(1/2))/12))*(x-((2*3^(1/2)+30)/12)) = 0
(2*(x-((30-2*3^(1/2))/12))*(x-((2*3^(1/2)+30)/12)))/(5-2*x) = 0
(2*(x-((30-2*3^(1/2))/12))*(x-((2*3^(1/2)+30)/12)))/(5-2*x) = 0 // * 5-2*x
2*(x-((30-2*3^(1/2))/12))*(x-((2*3^(1/2)+30)/12)) = 0
( 2 )
2 = 0
x belongs to the empty set
( x-((2*3^(1/2)+30)/12) )
x-((2*3^(1/2)+30)/12) = 0 // + (2*3^(1/2)+30)/12
x = (2*3^(1/2)+30)/12
( x-((30-2*3^(1/2))/12) )
x-((30-2*3^(1/2))/12) = 0 // + (30-2*3^(1/2))/12
x = (30-2*3^(1/2))/12
x in { (2*3^(1/2)+30)/12, (30-2*3^(1/2))/12 }
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