Find all equilibria and then linearize the system around each. (Order equilibria from smallest $x_1$-coordinate to largest, then by $x_2$-coordinate.)
$\frac{dx_1}{dt} = x_1 - 3x_2^2 + x_1x_2$
$\frac{dx_2}{dt} = 8x_1 + 4x_1x_2$
$\frac{dc}{dt} = \begin{bmatrix} \Box & \Box\\ \Box & \Box \end{bmatrix} c$, where $c = \begin{bmatrix} x_1\\ x_2 \end{bmatrix} - \begin{bmatrix} \Box\\ \Box \end{bmatrix}$
$\frac{dc}{dt} = \begin{bmatrix} \Box & \Box\\ \Box & \Box \end{bmatrix} c$, where $c = \begin{bmatrix} x_1\\ x_2 \end{bmatrix} - \begin{bmatrix} \Box\\ \Box \end{bmatrix}$
