## Prove that this matrix equation has no roots

Could you explain to me how to solve "more sophisticated" matrix equations such as this one?

Prove that $2x^2 + x = \begin{bmatrix} -1&5&3\\-2&1&2\\0&-4&-3\end{bmatrix}$ has no solutions in $M(3,3;R)$, where $M(3,3;R)$ is the space of all matrices 3x3 with real entries.