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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

3*x^-1-6/5*x^1+2*x^0 = 0

(2*x^1-6/5*x^2+3*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^1-6/5*x^2+3*x^0) = 0

x^1

(-6/5)*x^2+2*x+3 = 0

(-6/5)*x^2+2*x+3 = 0

DELTA = 2^2-(3*4*(-6/5))

DELTA = 92/5

DELTA > 0

x = ((92/5)^(1/2)-2)/(2*(-6/5)) or x = (-(92/5)^(1/2)-2)/(2*(-6/5))

x = -5/12*((92/5)^(1/2)-2) or x = 5/12*((92/5)^(1/2)+2)

x in { -5/12*((92/5)^(1/2)-2), 5/12*((92/5)^(1/2)+2)} 

x in { -5/12*((92/5)^(1/2)-2), 5/12*((92/5)^(1/2)+2) }

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