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

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


D( x )

x = 0

x = 0

x = 0

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

2/x-3*x-2 = 2/5 // - 2/5

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

2/x-3*x-2/5-2 = 0

2*x^-1-3*x^1-12/5*x^0 = 0

(2*x^0-3*x^2-12/5*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-3*x^2-12/5*x^1) = 0

x^1

(-12/5)*x-3*x^2+2 = 0

(-12/5)*x-3*x^2+2 = 0

DELTA = (-12/5)^2-(-3*2*4)

DELTA = 744/25

DELTA > 0

x = ((744/25)^(1/2)-(-12/5))/(-3*2) or x = (-(-12/5)-(744/25)^(1/2))/(-3*2)

x = ((744/25)^(1/2)+12/5)/(-6) or x = (12/5-(744/25)^(1/2))/(-6)

x in { ((744/25)^(1/2)+12/5)/(-6), (12/5-(744/25)^(1/2))/(-6)} 

x in { ((744/25)^(1/2)+12/5)/(-6), (12/5-(744/25)^(1/2))/(-6) }

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