12/x=4/2x-5

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Solution for 12/x=4/2x-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

12/x = (4/2)*x-5 // - (4/2)*x-5

12/x-((4/2)*x)+5 = 0

12/x-2*x+5 = 0

12*x^-1-2*x^1+5*x^0 = 0

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

x^1*(5*x^1-2*x^2+12*x^0) = 0

x^1

5*x-2*x^2+12 = 0

5*x-2*x^2+12 = 0

DELTA = 5^2-(-2*4*12)

DELTA = 121

DELTA > 0

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

x = -3/2 or x = 4

x in { -3/2, 4} 

x in { -3/2, 4 }

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