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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
(6/5)*(x-4)-(7/x)-2 = 5/x-4 // - 5/x-4
(6/5)*(x-4)-(7/x)-(5/x)-2+4 = 0
(6/5)*(x-4)-7*x^-1-5*x^-1-2+4 = 0
6/5*(x-4)-7/x-5/x-2+4 = 0
(6/5*x*(x-4))/x-7/x-5/x+(-2*x)/x+(4*x)/x = 0
6/5*x*(x-4)-2*x+4*x-7-5 = 0
6/5*x^2-24/5*x-2*x+4*x-7-5 = 0
6/5*x^2-24/5*x-2*x+4*x-12 = 0
6/5*x^2-34/5*x+4*x-12 = 0
6/5*x^2-14/5*x-12 = 0
6/5*x^2-14/5*x-12 = 0
2*(3/5*x^2-7/5*x-6) = 0
3/5*x^2-7/5*x-6 = 0
DELTA = (-7/5)^2-(-6*3/5*4)
DELTA = 409/25
DELTA > 0
x = ((409/25)^(1/2)+7/5)/(3/5*2) or x = (7/5-(409/25)^(1/2))/(3/5*2)
x = 5/6*((409/25)^(1/2)+7/5) or x = 5/6*(7/5-(409/25)^(1/2))
2*(x-5/6*(7/5-(409/25)^(1/2)))*(x-5/6*((409/25)^(1/2)+7/5)) = 0
(2*(x-5/6*(7/5-(409/25)^(1/2)))*(x-5/6*((409/25)^(1/2)+7/5)))/x = 0
(2*(x-5/6*(7/5-(409/25)^(1/2)))*(x-5/6*((409/25)^(1/2)+7/5)))/x = 0 // * x
2*(x-5/6*(7/5-(409/25)^(1/2)))*(x-5/6*((409/25)^(1/2)+7/5)) = 0
( x-5/6*((409/25)^(1/2)+7/5) )
x-5/6*((409/25)^(1/2)+7/5) = 0 // + -5/6*((409/25)^(1/2)+7/5)
x = -(-5/6*((409/25)^(1/2)+7/5))
x = 5/6*((409/25)^(1/2)+7/5)
( x-5/6*(7/5-(409/25)^(1/2)) )
x-5/6*(7/5-(409/25)^(1/2)) = 0 // + -5/6*(7/5-(409/25)^(1/2))
x = -(-5/6*(7/5-(409/25)^(1/2)))
x = 5/6*(7/5-(409/25)^(1/2))
x in { 5/6*((409/25)^(1/2)+7/5), 5/6*(7/5-(409/25)^(1/2)) }
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