7/(2x)=x/14

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Solution for 7/(2x)=x/14 equation: 


D( x )

2*x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

7/(2*x) = x/14 // - x/14

7/(2*x)-(x/14) = 0

7/2*x^-1-1/14*x^1 = 0

(7/2*x^0-1/14*x^2)/(x^1) = 0 // * x^2

x^1*(7/2*x^0-1/14*x^2) = 0

x^1

(-1/14)*x^2+7/2 = 0

(-1/14)*x^2+7/2 = 0

DELTA = 0^2-(4*(-1/14)*(7/2))

DELTA = 1

DELTA > 0

x = (1^(1/2)+0)/(2*(-1/14)) or x = (0-1^(1/2))/(2*(-1/14))

x = -7 or x = 7

x in { -7, 7} 

x in { -7, 7 }

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