(x+7)/(x+5)=(x-3)/(x-7)

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Solution for (x+7)/(x+5)=(x-3)/(x-7) equation: 


D( x )

x+5 = 0

x-7 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:-5) U (-5:7) U (7:+oo)

(x+7)/(x+5) = (x-3)/(x-7) // - (x-3)/(x-7)

(x+7)/(x+5)-((x-3)/(x-7)) = 0

(x+7)/(x+5)+(-1*(x-3))/(x-7) = 0

((x+7)*(x-7))/((x+5)*(x-7))+(-1*(x-3)*(x+5))/((x+5)*(x-7)) = 0

(x+7)*(x-7)-1*(x-3)*(x+5) = 0

-2*x-34 = 0

(-2*x-34)/((x+5)*(x-7)) = 0

(-2*x-34)/((x+5)*(x-7)) = 0 // * (x+5)*(x-7)

-2*x-34 = 0

-2*x-34 = 0 // + 34

-2*x = 34 // : -2

x = 34/(-2)

x = -17

x = -17

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