[tex]n^2x^2+n^2=2n^2x+16 \\ \\n^2x^2-2n^2x+n^2-16=0\\ \\ n^2(x^2-2x+1)-16=0[/tex]
[tex][n (x-1)]^2-4^2=0\\\\( n(x-1) -4)(n(x-1)+4)=0\\ \\(nx-x-4)(nx-x+4)=0 \\ \\nx-x-4=0 \ \ or \ \ nx-x+4 =0 \\\\ x(n-1)=4 \ \ or \ \ x(n-1)=-4 \\\\ n\neq 0 \\ \\x=\frac{4}{n-1}\ \ or x=\frac{-4}{n-1}[/tex]