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D( x )
6*x = 0
3*x = 0
6*x = 0
6*x = 0
6*x = 0 // : 6
x = 0
3*x = 0
3*x = 0
3*x = 0 // : 3
x = 0
x in (-oo:0) U (0:+oo)
4/(3*x)-(2*5*x) = 5-(1/(6*x)) // - 5-(1/(6*x))
4/(3*x)-(2*5*x)+1/(6*x)-5 = 0
4/(3*x)-10*x+1/(6*x)-5 = 0
3/2*x^-1-10*x^1-5*x^0 = 0
(3/2*x^0-10*x^2-5*x^1)/(x^1) = 0 // * x^2
x^1*(3/2*x^0-10*x^2-5*x^1) = 0
x^1
3/2-10*x^2-5*x = 0
3/2-10*x^2-5*x = 0
DELTA = (-5)^2-(-10*4*(3/2))
DELTA = 85
DELTA > 0
x = (85^(1/2)+5)/(-10*2) or x = (5-85^(1/2))/(-10*2)
x = (85^(1/2)+5)/(-20) or x = (5-85^(1/2))/(-20)
x in { (85^(1/2)+5)/(-20), (5-85^(1/2))/(-20)}
x in { (85^(1/2)+5)/(-20), (5-85^(1/2))/(-20) }
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