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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

DELTA = (-1/2)^2-(3*4*(-5/2))

DELTA = 121/4

DELTA > 0

x = ((121/4)^(1/2)-(-1/2))/(2*(-5/2)) or x = (-(-1/2)-(121/4)^(1/2))/(2*(-5/2))

x = -6/5 or x = 1

x in { -6/5, 1} 

x in { -6/5, 1 }

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