1/(x+7)=6/x

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Solution for 1/(x+7)=6/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)

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

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

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

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

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

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

-5*x-42 = 0

(-5*x-42)/(x*(x+7)) = 0

(-5*x-42)/(x*(x+7)) = 0 // * x*(x+7)

-5*x-42 = 0

-5*x-42 = 0 // + 42

-5*x = 42 // : -5

x = 42/(-5)

x = -42/5

x = -42/5

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