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D( x )
x+3 = 0
x+3 = 0
x+3 = 0
x+3 = 0 // - 3
x = -3
x in (-oo:-3) U (-3:+oo)
(3*x-4)/5-(2/(x+3)) = 0
(3*x-4)/5-2*(x+3)^-1 = 0
(3*x-4)/5-2/(x+3) = 0
((3*x-4)*(x+3))/(5*(x+3))+(-2*5)/(5*(x+3)) = 0
(3*x-4)*(x+3)-2*5 = 0
3*x^2+5*x-22 = 0
3*x^2+5*x-22 = 0
3*x^2+5*x-22 = 0
DELTA = 5^2-(-22*3*4)
DELTA = 289
DELTA > 0
x = (289^(1/2)-5)/(2*3) or x = (-289^(1/2)-5)/(2*3)
x = 2 or x = -11/3
(x+11/3)*(x-2) = 0
((x+11/3)*(x-2))/(5*(x+3)) = 0
((x+11/3)*(x-2))/(5*(x+3)) = 0 // * 5*(x+3)
(x+11/3)*(x-2) = 0
( x+11/3 )
x+11/3 = 0 // - 11/3
x = -11/3
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -11/3, 2 }
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