2/(x+3)=5/x

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Solution for 2/(x+3)=5/x equation: 


D( x )

x = 0

x+3 = 0

x = 0

x = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:0) U (0:+oo)

2/(x+3) = 5/x // - 5/x

2/(x+3)-(5/x) = 0

2/(x+3)-5*x^-1 = 0

2/(x+3)-5/x = 0

(2*x)/(x*(x+3))+(-5*(x+3))/(x*(x+3)) = 0

2*x-5*(x+3) = 0

-3*x-15 = 0

(-3*x-15)/(x*(x+3)) = 0

(-3*x-15)/(x*(x+3)) = 0 // * x*(x+3)

-3*x-15 = 0

-3*x-15 = 0 // + 15

-3*x = 15 // : -3

x = 15/(-3)

x = -5

x = -5

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