2/x=3/(x+1)

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Solution for 2/x=3/(x+1) equation: 


D( x )

x = 0

x+1 = 0

x = 0

x = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x in (-oo:-1) U (-1:0) U (0:+oo)

2/x = 3/(x+1) // - 3/(x+1)

2/x-(3/(x+1)) = 0

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

2/x-3/(x+1) = 0

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

2*(x+1)-3*x = 0

2-x = 0

(2-x)/(x*(x+1)) = 0

(2-x)/(x*(x+1)) = 0 // * x*(x+1)

2-x = 0

2-x = 0 // - 2

-x = -2 // * -1

x = 2

x = 2

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