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D( x )
5*x-12 = 0
x = 0
5*x-12 = 0
5*x-12 = 0
5*x-12 = 0 // + 12
5*x = 12 // : 5
x = 12/5
x = 0
x = 0
x in (-oo:0) U (0:12/5) U (12/5:+oo)
2/x = x/(5*x-12) // - x/(5*x-12)
2/x-(x/(5*x-12)) = 0
(-1*x)/(5*x-12)+2/x = 0
(-1*x^2)/(x*(5*x-12))+(2*(5*x-12))/(x*(5*x-12)) = 0
2*(5*x-12)-1*x^2 = 0
10*x-x^2-24 = 0
10*x-x^2-24 = 0
10*x-x^2-24 = 0
DELTA = 10^2-(-24*(-1)*4)
DELTA = 4
DELTA > 0
x = (4^(1/2)-10)/(-1*2) or x = (-4^(1/2)-10)/(-1*2)
x = 4 or x = 6
(x-4)*(x-6) = 0
((x-4)*(x-6))/(x*(5*x-12)) = 0
((x-4)*(x-6))/(x*(5*x-12)) = 0 // * x*(5*x-12)
(x-4)*(x-6) = 0
( x-4 )
x-4 = 0 // + 4
x = 4
( x-6 )
x-6 = 0 // + 6
x = 6
x in { 4, 6 }
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