1/3x-5+3x=6/x-5

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Solution for 1/3x-5+3x=6/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/3)*x+3*x-5 = 6/x-5 // - 6/x-5

(1/3)*x+3*x-(6/x)-5+5 = 0

(1/3)*x+3*x-6*x^-1-5+5 = 0

10/3*x^1-6*x^-1 = 0

(10/3*x^2-6*x^0)/(x^1) = 0 // * x^2

x^1*(10/3*x^2-6*x^0) = 0

x^1

(10/3)*x^2-6 = 0

(10/3)*x^2-6 = 0

DELTA = 0^2-(-6*4*(10/3))

DELTA = 80

DELTA > 0

x = (80^(1/2)+0)/(2*(10/3)) or x = (0-80^(1/2))/(2*(10/3))

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

x in { -3/5*5^(1/2), 3/5*5^(1/2)} 

x in { -3/5*5^(1/2), 3/5*5^(1/2) }

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