-2/(x+1)=3/(x-4)

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Solution for -2/(x+1)=3/(x-4) equation: 


D( x )

x+1 = 0

x-4 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:-1) U (-1:4) U (4:+oo)

-2/(x+1) = 3/(x-4) // - 3/(x-4)

-2/(x+1)-(3/(x-4)) = 0

-2/(x+1)-3*(x-4)^-1 = 0

-2/(x+1)-3/(x-4) = 0

(-2*(x-4))/((x+1)*(x-4))+(-3*(x+1))/((x+1)*(x-4)) = 0

-2*(x-4)-3*(x+1) = 0

5-5*x = 0

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

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

5-5*x = 0

5-5*x = 0 // - 5

-5*x = -5 // : -5

x = -5/(-5)

x = 1

x = 1

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