+263 Find all values of $a$ that satisfy the equation
\frac{a}{3} + 1 = \frac{a + 3}{a} - \frac{a^2 + 2}{a}.
+15001 Find all values of a that satisfy the equation
\(\dfrac{a}{3} + 1 = \dfrac{a + 3}{a} - \dfrac{a^2 + 2}{a}\\ \dfrac{a^2}{3}+a=a+3-a^2-2\\ \dfrac{4}{3}a^2=1\\ a^2=\dfrac{3}{4}\)
\(a=\dfrac{\pm \sqrt{3}}{2}\\ \color{blue}a\in \{-\dfrac{\sqrt{3}}{2},\dfrac{\sqrt{3}}{2}\}\)
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