Answer
$\left\{-2, 2\right\}$
Work Step by Step
Divide $6$ on both sides to obtain:
$n^2=4$
Subtract $4$ to both sides to obtain:
$x^2-4 = 0$
Factor the difference of two square to obtain:
$(x-2)(x+2)=0$
Equate each factor to 0 to obtain:
$x-2=0 \text{ or } x+2=0$
Solve each equation to obtain:
$x=2 \text{ or } x=-2$
Therefore, the solution set is $\left\{-2, 2\right\}$.