Elementary Algebra

{$-1,1$}
First we isolate the unknown variable, $5n^{2}-5=0$ $5n^{2}=5$ $n^{2}=\frac{5}{5}$ $n^{2}=1$ Next, we apply square root to both sides of the equation and solve: $\sqrt {n^{2}}=\pm\sqrt 1$ $n=\pm\sqrt 1$ $n=\pm 1$ Therefore, the solution set is {$-1,1$}.