12/x-x/2=x-3

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Solution for 12/x-x/2=x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

12/x-(x/2) = x-3 // - x-3

12/x-(x/2)-x+3 = 0

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

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

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

x^1

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

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

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

DELTA = 81

DELTA > 0

x = (81^(1/2)-3)/(2*(-3/2)) or x = (-81^(1/2)-3)/(2*(-3/2))

x = -2 or x = 4

x in { -2, 4} 

x in { -2, 4 }

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