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D( x )
x-5 = 0
x = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x = 0
x = 0
x in (-oo:0) U (0:5) U (5:+oo)
1/x-(1/x)-2+3 = 1/(x-5)-(1*(x-6)) // - 1/(x-5)-(1*(x-6))
1*(x-6)-(1/(x-5))+1/x-(1/x)-2+3 = 0
x-(x-5)^-1+1/x-x^-1-6-2+3 = 0
x-1/(x-5)+1/x-1/x-6-2+3 = 0
(-1*x)/(x*(x-5))+(x^2*(x-5))/(x*(x-5))+(1*(x-5))/(x*(x-5))+(-1*(x-5))/(x*(x-5))+(-6*x*(x-5))/(x*(x-5))+(-2*x*(x-5))/(x*(x-5))+(3*x*(x-5))/(x*(x-5)) = 0
x^2*(x-5)+1*(x-5)-1*(x-5)-6*x*(x-5)-2*x*(x-5)+3*x*(x-5)-1*x = 0
x^3-5*x^2-6*x^2-2*x^2+3*x^2-x+x-x+30*x+10*x-15*x-5+5 = 0
x^3-5*x^2-6*x^2-2*x^2+3*x^2-x+30*x+10*x-15*x-5+5 = 0
x^3-5*x^2-6*x^2-2*x^2+3*x^2-x+30*x+10*x-15*x = 0
x^3-11*x^2-2*x^2+3*x^2+29*x+10*x-15*x = 0
x^3-13*x^2+3*x^2+39*x-15*x = 0
x^3-10*x^2+24*x = 0
x^3-10*x^2+24*x = 0
x*(x^2-10*x+24) = 0
x^2-10*x+24 = 0
DELTA = (-10)^2-(1*4*24)
DELTA = 4
DELTA > 0
x = (4^(1/2)+10)/(1*2) or x = (10-4^(1/2))/(1*2)
x = 6 or x = 4
x*(x-4)*(x-6) = 0
(x*(x-4)*(x-6))/(x*(x-5)) = 0
(x*(x-4)*(x-6))/(x*(x-5)) = 0 // * x*(x-5)
x*(x-4)*(x-6) = 0
( x-4 )
x-4 = 0 // + 4
x = 4
( x-6 )
x-6 = 0 // + 6
x = 6
( x )
x = 0
x in { 0}
x in { 4, 6 }
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