340/(x-6)=360/x

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Solution for 340/(x-6)=360/x equation: 


D( x )

x-6 = 0

x = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x = 0

x = 0

x in (-oo:0) U (0:6) U (6:+oo)

340/(x-6) = 360/x // - 360/x

340/(x-6)-(360/x) = 0

340/(x-6)-360*x^-1 = 0

340/(x-6)-360/x = 0

(340*x)/(x*(x-6))+(-360*(x-6))/(x*(x-6)) = 0

340*x-360*(x-6) = 0

2160-20*x = 0

(2160-20*x)/(x*(x-6)) = 0

(2160-20*x)/(x*(x-6)) = 0 // * x*(x-6)

2160-20*x = 0

2160-20*x = 0 // - 2160

-20*x = -2160 // : -20

x = -2160/(-20)

x = 108

x = 108

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