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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x+(4/5)*x+7 = 6/x+5 // - 6/x+5
x+(4/5)*x-(6/x)-5+7 = 0
x+(4/5)*x-6*x^-1-5+7 = 0
9/5*x^1-6*x^-1+2*x^0 = 0
(9/5*x^2+2*x^1-6*x^0)/(x^1) = 0 // * x^2
x^1*(9/5*x^2+2*x^1-6*x^0) = 0
x^1
(9/5)*x^2+2*x-6 = 0
(9/5)*x^2+2*x-6 = 0
DELTA = 2^2-(-6*4*(9/5))
DELTA = 236/5
DELTA > 0
x = ((236/5)^(1/2)-2)/(2*(9/5)) or x = (-(236/5)^(1/2)-2)/(2*(9/5))
x = 5/18*((236/5)^(1/2)-2) or x = -5/18*((236/5)^(1/2)+2)
x in { -5/18*((236/5)^(1/2)+2), 5/18*((236/5)^(1/2)-2)}
x in { -5/18*((236/5)^(1/2)+2), 5/18*((236/5)^(1/2)-2) }
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