Solve {l}{x^2+(3a-2)x+3(a-1)=0}{(2-a)x^2-x-3+a=0}

$$\left. \begin{array} { l } { x ^ { 2 } + ( 3 a - 2 ) x + 3 ( a - 1 ) = 0 } \\ { ( 2 - a ) x ^ { 2 } - x - 3 + a = 0 } \end{array} \right.$$

Solve for x, a (complex solution)

$$x=-\sqrt{7}-1\approx -3.645751311\text{, }a=\frac{\sqrt{7}+4}{3}\approx 2.215250437$$

$$x=\sqrt{7}-1\approx 1.645751311\text{, }a=\frac{4-\sqrt{7}}{3}\approx 0.45141623$$

$$x=-1\text{, }a\in \mathrm{C}$$

Solve for x, a

$$x=-\sqrt{7}-1\approx -3.645751311\text{, }a=\frac{\sqrt{7}+4}{3}\approx 2.215250437$$

$$x=\sqrt{7}-1\approx 1.645751311\text{, }a=\frac{4-\sqrt{7}}{3}\approx 0.45141623$$

$$x=-1\text{, }a\in \mathrm{R}$$