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

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Solution for 5/(x+2)=3/(x-1) equation: 


D( x )

x+2 = 0

x-1 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:-2) U (-2:1) U (1:+oo)

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

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

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

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

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

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

2*x-11 = 0

(2*x-11)/((x+2)*(x-1)) = 0

(2*x-11)/((x+2)*(x-1)) = 0 // * (x+2)*(x-1)

2*x-11 = 0

2*x-11 = 0 // + 11

2*x = 11 // : 2

x = 11/2

x = 11/2

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