algebra precalculus - Solution to a simple system of quadratic equations

I am hoping to find a closed-form solution to the following system of $n$ quadratic equations:

$$x_j^2 = \sum_{i=1}^n B_{ij}x_i$$

for $j\in\{1,\dots,n\}$, where $B_{ij}\geq 0$. There is a trivial solution at $x=0$ but I am looking for others. Any help would be much appreciated.