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

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


D( x )

x+5 = 0

x+3 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-5) U (-5:-3) U (-3:+oo)

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

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

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

((x-5)*(x+3))/((x+5)*(x+3))+(-1*(x+5)^2)/((x+5)*(x+3)) = 0

(x-5)*(x+3)-1*(x+5)^2 = 0

-12*x-40 = 0

(-12*x-40)/((x+5)*(x+3)) = 0

(-12*x-40)/((x+5)*(x+3)) = 0 // * (x+5)*(x+3)

-12*x-40 = 0

-12*x-40 = 0 // + 40

-12*x = 40 // : -12

x = 40/(-12)

x = -10/3

x = -10/3

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