I came up with no solution for this equation. Could someone please let me know if I am correct? If not, I will try again, but I have already tried it 3 times.

Question

[x/(x+5)]-[5/(x-5)]=(x^2+25)/(x^2-25)

Answer 1

You are correct.
Solving the equation results in x = -5

but in the original equation we have the restriction of
x ≠ ±5

so there is no solution.

Answer 2

Thank you!!