3/(x-4)=18/(x+1)

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Solution for 3/(x-4)=18/(x+1) 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)

3/(x-4) = 18/(x+1) // - 18/(x+1)

3/(x-4)-(18/(x+1)) = 0

3/(x-4)-18*(x+1)^-1 = 0

3/(x-4)-18/(x+1) = 0

(3*(x+1))/((x-4)*(x+1))+(-18*(x-4))/((x-4)*(x+1)) = 0

3*(x+1)-18*(x-4) = 0

75-15*x = 0

(75-15*x)/((x-4)*(x+1)) = 0

(75-15*x)/((x-4)*(x+1)) = 0 // * (x-4)*(x+1)

75-15*x = 0

75-15*x = 0 // - 75

-15*x = -75 // : -15

x = -75/(-15)

x = 5

x = 5

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