((13)/(5x)+(2/3))=(3/5x)

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Solution for ((13)/(5x)+(2/3))=(3/5x) equation: 


D( x )

5*x = 0

5*x = 0

5*x = 0

5*x = 0 // : 5

x = 0

x in (-oo:0) U (0:+oo)

13/(5*x)+2/3 = (3/5)*x // - (3/5)*x

13/(5*x)-((3/5)*x)+2/3 = 0

(-3/5)*x+13/(5*x)+2/3 = 0

13/5*x^-1-3/5*x^1+2/3*x^0 = 0

(2/3*x^1-3/5*x^2+13/5*x^0)/(x^1) = 0 // * x^2

x^1*(2/3*x^1-3/5*x^2+13/5*x^0) = 0

x^1

(-3/5)*x^2+(2/3)*x+13/5 = 0

(-3/5)*x^2+(2/3)*x+13/5 = 0

DELTA = (2/3)^2-(4*(-3/5)*(13/5))

DELTA = 1504/225

DELTA > 0

x = ((1504/225)^(1/2)-(2/3))/(2*(-3/5)) or x = (-(2/3)-(1504/225)^(1/2))/(2*(-3/5))

x = -5/6*((1504/225)^(1/2)-2/3) or x = 5/6*((1504/225)^(1/2)+2/3)

x in { -5/6*((1504/225)^(1/2)-2/3), 5/6*((1504/225)^(1/2)+2/3)} 

x in { -5/6*((1504/225)^(1/2)-2/3), 5/6*((1504/225)^(1/2)+2/3) }

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