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

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Solution for 3/x-x/2=5/2x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

3-3*x^2 = 0

3-3*x^2 = 0

DELTA = 0^2-(-3*3*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+0)/(-3*2) or x = (0-36^(1/2))/(-3*2)

x = -1 or x = 1

x in { -1, 1} 

x in { -1, 1 }

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