x+7/x=(6x+14)/7

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Solution for x+7/x=(6x+14)/7 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+7/x = (6*x+14)/7 // - (6*x+14)/7

x-((6*x+14)/7)+7/x = 0

(-1*(6*x+14))/7+x+7/x = 0

(-1*x*(6*x+14))/(7*x)+(7*x^2)/(7*x)+(7^2)/(7*x) = 0

7*x^2-1*x*(6*x+14)+49 = 0

x^2-14*x+49 = 0

x^2-14*x+49 = 0

x^2-14*x+49 = 0

DELTA = (-14)^2-(1*4*49)

DELTA = 0

x = 14/(1*2)

x = 7 or x = 7

(x-7)^2 = 0

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

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

(x-7)^2 = 0

x-7 = 0 // + 7

x = 7

x in { 7, 7 }

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