Answer
There is no solution for this equation.
Work Step by Step
$\frac{10}{x^2 - 25}$ = $\frac{3}{x + 5} + \frac{1}{x - 5}$
$\frac{10}{(x + 5)(x - 5)}$ = $\frac{3(x - 5) + (x + 5)}{(x +5)(x - 5)}$
$\frac{10}{(x + 5)(x - 5)}$ = $\frac{4x - 10}{(x +5)(x - 5)}$
Hence,
$10 = 4x - 10$
$4x = 20$
$x = 5$
But, when $x = 5$, the equation will be undefined since $x$ cannot be equal to 5 or -5, therefore, there is no solution for this equation.
