3/2x-3/x-2=1/2x

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Solution for 3/2x-3/x-2=1/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

(3/2)*x-(3/x)-2 = (1/2)*x // - (1/2)*x

(3/2)*x-((1/2)*x)-(3/x)-2 = 0

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

1*x^1-3*x^-1-2*x^0 = 0

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

x^1*(1*x^2-2*x^1-3*x^0) = 0

x^1

x^2-2*x-3 = 0

x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+2)/(1*2) or x = (2-16^(1/2))/(1*2)

x = 3 or x = -1

x in { -1, 3} 

x in { -1, 3 }

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