$a=-2187m^{-\frac{1}{2}}n^{-\frac{1}{2}}\times 3^{-\frac{x^{2}}{2}-x+\frac{1}{2}}$
$a=2187m^{-\frac{1}{2}}n^{-\frac{1}{2}}\times 3^{-\frac{x^{2}}{2}-x+\frac{1}{2}}\text{, }n\neq 0\text{ and }m\neq 0$

$a=\frac{2187\times 3^{-\frac{x^{2}}{2}-x+\frac{1}{2}}}{\sqrt{mn}}$
$a=-\frac{2187\times 3^{-\frac{x^{2}}{2}-x+\frac{1}{2}}}{\sqrt{mn}}\text{, }\left(n>0\text{ and }m>0\right)\text{ or }\left(m<0\text{ and }n<0\right)$

$m=\frac{14348907}{na^{2}\times 3^{x\left(x+2\right)}}$
$n\neq 0\text{ and }a\neq 0$