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

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Solution for (4/(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)

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

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

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

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

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

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

-2*x-42 = 0

(-2*x-42)/(x*(x+7)) = 0

(-2*x-42)/(x*(x+7)) = 0 // * x*(x+7)

-2*x-42 = 0

-2*x-42 = 0 // + 42

-2*x = 42 // : -2

x = 42/(-2)

x = -21

x = -21

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