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D( x )
x+2 = 0
x = 0
5*x = 0
x+2 = 0
x+2 = 0
x+2 = 0 // - 2
x = -2
x = 0
x = 0
5*x = 0
5*x = 0
5*x = 0 // : 5
x = 0
x in (-oo:-2) U (-2:0) U (0:+oo)
3/(x+2)-(1/x) = 1/(5*x) // - 1/(5*x)
3/(x+2)-(1/x)-(1/(5*x)) = 0
3/(x+2)-x^-1+(-1/5)*x^-1 = 0
3/(x+2)-1/x-1/(5*x) = 0
(3*5*x*x)/(5*x*x*(x+2))+(-1*5*x*(x+2))/(5*x*x*(x+2))+(-1*x*(x+2))/(5*x*x*(x+2)) = 0
3*5*x*x-1*5*x*(x+2)-1*x*(x+2) = 0
10*x^2-x^2-10*x-2*x = 0
9*x^2-12*x = 0
9*x^2-12*x = 0
3*x*(3*x-4) = 0
3*x-4 = 0 // + 4
3*x = 4 // : 3
x = 4/3
3*x*(x-4/3) = 0
(3*x*(x-4/3))/(5*x*x*(x+2)) = 0
(3*x*(x-4/3))/(5*x*x*(x+2)) = 0 // * 5*x*x*(x+2)
3*x*(x-4/3) = 0
( 3*x )
3*x = 0 // : 3
x = 0
( x-4/3 )
x-4/3 = 0 // + 4/3
x = 4/3
x in { 0}
x = 4/3
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