14/x-2=21/2x+3

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Solution for 14/x-2=21/2x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

14/x-2 = (21/2)*x+3 // - (21/2)*x+3

14/x-((21/2)*x)-3-2 = 0

(-21/2)*x+14/x-3-2 = 0

14*x^-1-21/2*x^1-5*x^0 = 0

(14*x^0-21/2*x^2-5*x^1)/(x^1) = 0 // * x^2

x^1*(14*x^0-21/2*x^2-5*x^1) = 0

x^1

(-21/2)*x^2-5*x+14 = 0

(-21/2)*x^2-5*x+14 = 0

DELTA = (-5)^2-(4*14*(-21/2))

DELTA = 613

DELTA > 0

x = (613^(1/2)+5)/(2*(-21/2)) or x = (5-613^(1/2))/(2*(-21/2))

x = (613^(1/2)+5)/(-21) or x = (5-613^(1/2))/(-21)

x in { (613^(1/2)+5)/(-21), (5-613^(1/2))/(-21)}

x in { (613^(1/2)+5)/(-21), (5-613^(1/2))/(-21) }

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