3/(x-7)=4/(x-2)

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Solution for 3/(x-7)=4/(x-2) equation: 


D( x )

x-7 = 0

x-2 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:7) U (7:+oo)

3/(x-7) = 4/(x-2) // - 4/(x-2)

3/(x-7)-(4/(x-2)) = 0

3/(x-7)-4*(x-2)^-1 = 0

3/(x-7)-4/(x-2) = 0

(3*(x-2))/((x-7)*(x-2))+(-4*(x-7))/((x-7)*(x-2)) = 0

3*(x-2)-4*(x-7) = 0

22-x = 0

(22-x)/((x-7)*(x-2)) = 0

(22-x)/((x-7)*(x-2)) = 0 // * (x-7)*(x-2)

22-x = 0

22-x = 0 // - 22

-x = -22 // * -1

x = 22

x = 22

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