(x-7)/(x+2)-(x+3)/(x-8)

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Solution for (x-7)/(x+2)-(x+3)/(x-8) equation: 


D( x )

x+2 = 0

x-8 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x in (-oo:-2) U (-2:8) U (8:+oo)

(x-7)/(x+2)-((x+3)/(x-8)) = 0

(x-7)/(x+2)+(-1*(x+3))/(x-8) = 0

((x-7)*(x-8))/((x+2)*(x-8))+(-1*(x+3)*(x+2))/((x+2)*(x-8)) = 0

(x-7)*(x-8)-1*(x+3)*(x+2) = 0

50-20*x = 0

(50-20*x)/((x+2)*(x-8)) = 0

(50-20*x)/((x+2)*(x-8)) = 0 // * (x+2)*(x-8)

50-20*x = 0

50-20*x = 0 // - 50

-20*x = -50 // : -20

x = -50/(-20)

x = 5/2

x = 5/2

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