1. Solve the equation $\left|\begin{array}{ccc}x+1 & 2 x & 1 \\ x & 3 x-2 & 2 x \\ 1 & 1 & x\end{array}\right|=0$ ;
Three, 1. Hint: Subtract the first column from the second column, then take $x-1$ from the second column, resulting in the equation $(x-1)\left(x^{2}+4 x-2\right)=0$, solving for $x_{1}=1, x_{2}, 3=-2 \pm \sqrt{6} 3$