6/(x+7)=8/x

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Solution for 6/(x+7)=8/x equation: 


D( x )

x+7 = 0

x = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x = 0

x = 0

x in (-oo:-7) U (-7:0) U (0:+oo)

6/(x+7) = 8/x // - 8/x

6/(x+7)-(8/x) = 0

6/(x+7)-8*x^-1 = 0

6/(x+7)-8/x = 0

(6*x)/(x*(x+7))+(-8*(x+7))/(x*(x+7)) = 0

6*x-8*(x+7) = 0

-2*x-56 = 0

(-2*x-56)/(x*(x+7)) = 0

(-2*x-56)/(x*(x+7)) = 0 // * x*(x+7)

-2*x-56 = 0

-2*x-56 = 0 // + 56

-2*x = 56 // : -2

x = 56/(-2)

x = -28

x = -28

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