Let α, β be the roots of the equation x^2-3 x+ r =0, and (α)/2, 2 β be the roots of the equation x^2+3 x+ r =0. If the roots of the equation x^2+6 x=…

Let $\displaystyle \alpha, \beta$ be the roots of the equation $\displaystyle x^2-3 x+\mathrm{r}=0$, and $\displaystyle \frac{\alpha}{2}, 2 \beta$ be the roots of the equation $\displaystyle x^2+3 x+\mathrm{r}=0$. If the roots of the equation $\displaystyle x^2+6 x=\mathrm{m}$ are $\displaystyle 2 \alpha+\beta+2 \mathrm{r}$ and $\displaystyle \alpha-2 \beta-\frac{\mathrm{r}}{2}$, then m is equal to: