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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
5/x-((3/2)*x) = 7/6 // - 7/6
5/x-((3/2)*x)-(7/6) = 0
(-3/2)*x+5/x-7/6 = 0
5*x^-1-3/2*x^1-7/6*x^0 = 0
(5*x^0-3/2*x^2-7/6*x^1)/(x^1) = 0 // * x^2
x^1*(5*x^0-3/2*x^2-7/6*x^1) = 0
x^1
(-3/2)*x^2+(-7/6)*x+5 = 0
(-3/2)*x^2+(-7/6)*x+5 = 0
DELTA = (-7/6)^2-(4*5*(-3/2))
DELTA = 1129/36
DELTA > 0
x = ((1129/36)^(1/2)-(-7/6))/(2*(-3/2)) or x = (-(-7/6)-(1129/36)^(1/2))/(2*(-3/2))
x = ((1129/36)^(1/2)+7/6)/(-3) or x = (7/6-(1129/36)^(1/2))/(-3)
x in { ((1129/36)^(1/2)+7/6)/(-3), (7/6-(1129/36)^(1/2))/(-3)}
x in { ((1129/36)^(1/2)+7/6)/(-3), (7/6-(1129/36)^(1/2))/(-3) }
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