`~rai~`
`A=2x^2+12x+9`
`=2x^2+12x+18-9`
`=(2x^2+12x+18)-9`
`=2(x^2+6x+9)-9`
`=2(x+3)^2-9`
$\text{Ta có:}2(x+3)^2\ge 0$
$\Leftrightarrow 2(x+3)^2-9 \ge -9$
$\Leftrightarrow A\ge -9$
$\text{Dấu"=" xảy ra}\Leftrightarrow 2(x+3)^2=0$
$\Leftrightarrow x+3=0$
$\Leftrightarrow x=-3.$
$\text{Vậy Min A=-9 khi x=-3.}$