8/x-3=12/2x-3

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Solution for 8/x-3=12/2x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

8/x-6*x-3+3 = 0

8*x^-1-6*x^1 = 0

(8*x^0-6*x^2)/(x^1) = 0 // * x^2

x^1*(8*x^0-6*x^2) = 0

x^1

8-6*x^2 = 0

8-6*x^2 = 0

DELTA = 0^2-(-6*4*8)

DELTA = 192

DELTA > 0

x = (192^(1/2)+0)/(-6*2) or x = (0-192^(1/2))/(-6*2)

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

x in { (-2*3^(1/2))/3, (2*3^(1/2))/3} 

x in { (-2*3^(1/2))/3, (2*3^(1/2))/3 }

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