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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
7/x-((1/3)*x) = 8/3 // - 8/3
7/x-((1/3)*x)-(8/3) = 0
(-1/3)*x+7/x-8/3 = 0
7*x^-1-1/3*x^1-8/3*x^0 = 0
(7*x^0-1/3*x^2-8/3*x^1)/(x^1) = 0 // * x^2
x^1*(7*x^0-1/3*x^2-8/3*x^1) = 0
x^1
(-1/3)*x^2+(-8/3)*x+7 = 0
(-1/3)*x^2+(-8/3)*x+7 = 0
DELTA = (-8/3)^2-(4*7*(-1/3))
DELTA = 148/9
DELTA > 0
x = ((148/9)^(1/2)-(-8/3))/(2*(-1/3)) or x = (-(-8/3)-(148/9)^(1/2))/(2*(-1/3))
x = -3/2*((148/9)^(1/2)+8/3) or x = -3/2*(8/3-(148/9)^(1/2))
x in { -3/2*((148/9)^(1/2)+8/3), -3/2*(8/3-(148/9)^(1/2))}
x in { -3/2*((148/9)^(1/2)+8/3), -3/2*(8/3-(148/9)^(1/2)) }
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