解方程 $3x+2=\dfrac{2}{x-1}$。

Answer all questions. You should use a calculator where appropriate.

You must show all necessary working clearly; no marks will be given for unsupported answers from a calculator.

Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.

请回答所有题目。适当时应使用计算器。必须清楚展示所有必要的计算过程；仅给出计算器答案而没有过程，不予评分。除非题目另有精度要求，非精确数值答案保留 3 位有效数字，以度为单位的角度保留 1 位小数。

先记录分母的限制，再乘以 $x-1$ 化为二次方程。

The equation requires $x\ne1$. Multiplying by $x-1$ gives $(3x+2)(x-1)=2$, so

Thus $x=-1$ or $4/3$. Both satisfy the restriction and the original equation.