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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
3*x+x/2-(7/x)-5 = 8/x-5 // - 8/x-5
3*x+x/2-(7/x)-(8/x)-5+5 = 0
3*x+x/2-7*x^-1-8*x^-1-5+5 = 0
7/2*x^1-15*x^-1 = 0
(7/2*x^2-15*x^0)/(x^1) = 0 // * x^2
x^1*(7/2*x^2-15*x^0) = 0
x^1
(7/2)*x^2-15 = 0
(7/2)*x^2-15 = 0
DELTA = 0^2-(-15*4*(7/2))
DELTA = 210
DELTA > 0
x = (210^(1/2)+0)/(2*(7/2)) or x = (0-210^(1/2))/(2*(7/2))
x = (210^(1/2))/7 or x = (-210^(1/2))/7
x in { (-210^(1/2))/7, (210^(1/2))/7}
x in { (-210^(1/2))/7, (210^(1/2))/7 }
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