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

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Solution for (21/(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)

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

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

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

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

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

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

18*x-27 = 0

(18*x-27)/((x+2)*(x-1)) = 0

(18*x-27)/((x+2)*(x-1)) = 0 // * (x+2)*(x-1)

18*x-27 = 0

18*x-27 = 0 // + 27

18*x = 27 // : 18

x = 27/18

x = 3/2

x = 3/2

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