We will have the following:
[tex]\begin{gathered} 3m^2+m+10=0\Rightarrow m=\frac{-(1)\pm\sqrt{(1)^2-4(3)(10)}}{2(3)} \\ \\ \Rightarrow x=-\frac{1}{6}-\frac{\sqrt{119}}{6}i \\ \\ and \\ \\ \Rightarrow x=-\frac{1}{6}+\frac{\sqrt{119}}{6}i \end{gathered}[/tex]
From this, we can see that the function has no solution in the real numbers and the solutions are:
[tex]-\frac{1}{6}-\frac{\sqrt{119}}{6}i,-\frac{1}{6}+\frac{\sqrt{119}}{6}i[/tex]
