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D( x )
3*x-7 = 0
3*x-7 = 0
3*x-7 = 0
3*x-7 = 0 // + 7
3*x = 7 // : 3
x = 7/3
x in (-oo:7/3) U (7/3:+oo)
-(5/(3*x-7)) = x+3 // - x+3
-(5/(3*x-7))-x-3 = 0
-5*(3*x-7)^-1-x-3 = 0
-5/(3*x-7)-x-3 = 0
(-x*(3*x-7))/(3*x-7)-5/(3*x-7)+(-3*(3*x-7))/(3*x-7) = 0
-x*(3*x-7)-3*(3*x-7)-5 = 0
7*x-3*x^2-9*x-5+21 = 0
16-3*x^2-2*x = 0
16-3*x^2-2*x = 0
16-3*x^2-2*x = 0
DELTA = (-2)^2-(-3*4*16)
DELTA = 196
DELTA > 0
x = (196^(1/2)+2)/(-3*2) or x = (2-196^(1/2))/(-3*2)
x = -8/3 or x = 2
(x+8/3)*(x-2) = 0
((x+8/3)*(x-2))/(3*x-7) = 0
((x+8/3)*(x-2))/(3*x-7) = 0 // * 3*x-7
(x+8/3)*(x-2) = 0
( x+8/3 )
x+8/3 = 0 // - 8/3
x = -8/3
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -8/3, 2 }
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