5/(x+1)=4/x

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Solution for 5/(x+1)=4/x 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)

5/(x+1) = 4/x // - 4/x

5/(x+1)-(4/x) = 0

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

5/(x+1)-4/x = 0

(5*x)/(x*(x+1))+(-4*(x+1))/(x*(x+1)) = 0

5*x-4*(x+1) = 0

x-4 = 0

(x-4)/(x*(x+1)) = 0

(x-4)/(x*(x+1)) = 0 // * x*(x+1)

x-4 = 0

x-4 = 0 // + 4

x = 4

x = 4

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