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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x+7/3 = 5/x-7 // - 5/x-7
x-(5/x)+7/3+7 = 0
x-5*x^-1+7/3+7 = 0
1*x^1-5*x^-1+28/3*x^0 = 0
(1*x^2+28/3*x^1-5*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2+28/3*x^1-5*x^0) = 0
x^1
x^2+(28/3)*x-5 = 0
x^2+(28/3)*x-5 = 0
DELTA = (28/3)^2-(-5*1*4)
DELTA = 964/9
DELTA > 0
x = ((964/9)^(1/2)-(28/3))/(1*2) or x = (-(28/3)-(964/9)^(1/2))/(1*2)
x = ((964/9)^(1/2)-28/3)/2 or x = (-((964/9)^(1/2)+28/3))/2
x in { (-((964/9)^(1/2)+28/3))/2, ((964/9)^(1/2)-28/3)/2}
x in { (-((964/9)^(1/2)+28/3))/2, ((964/9)^(1/2)-28/3)/2 }
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