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D( x )
3*x-3 = 0
3*x-3 = 0
3*x-3 = 0
3*x-3 = 0 // + 3
3*x = 3 // : 3
x = 3/3
x = 1
x in (-oo:1) U (1:+oo)
5*x-(3/(3*x-3)) = 0
5*x-3*(3*x-3)^-1 = 0
5*x-3/(3*x-3) = 0
(5*x*(3*x-3))/(3*x-3)-3/(3*x-3) = 0
5*x*(3*x-3)-3 = 0
15*x^2-15*x-3 = 0
15*x^2-15*x-3 = 0
3*(5*x^2-5*x-1) = 0
5*x^2-5*x-1 = 0
DELTA = (-5)^2-(-1*4*5)
DELTA = 45
DELTA > 0
x = (45^(1/2)+5)/(2*5) or x = (5-45^(1/2))/(2*5)
x = (3*5^(1/2)+5)/10 or x = (5-3*5^(1/2))/10
3*(x-((5-3*5^(1/2))/10))*(x-((3*5^(1/2)+5)/10)) = 0
(3*(x-((5-3*5^(1/2))/10))*(x-((3*5^(1/2)+5)/10)))/(3*x-3) = 0
(3*(x-((5-3*5^(1/2))/10))*(x-((3*5^(1/2)+5)/10)))/(3*x-3) = 0 // * 3*x-3
3*(x-((5-3*5^(1/2))/10))*(x-((3*5^(1/2)+5)/10)) = 0
( 3 )
3 = 0
x belongs to the empty set
( x-((3*5^(1/2)+5)/10) )
x-((3*5^(1/2)+5)/10) = 0 // + (3*5^(1/2)+5)/10
x = (3*5^(1/2)+5)/10
( x-((5-3*5^(1/2))/10) )
x-((5-3*5^(1/2))/10) = 0 // + (5-3*5^(1/2))/10
x = (5-3*5^(1/2))/10
x in { (3*5^(1/2)+5)/10, (5-3*5^(1/2))/10 }
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