Giải:
\(\left|\left(-2\dfrac{2}{3}\right)^2-x\right|-\dfrac{1}{3}=0\)
\(\Leftrightarrow\left|\left(-2\dfrac{2}{3}\right)^2-x\right|=\dfrac{1}{3}\)
\(\Leftrightarrow\left|\dfrac{16}{9}-x\right|=\dfrac{1}{3}\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{16}{9}-x=\dfrac{1}{3}\\\dfrac{16}{9}-x=-\dfrac{1}{3}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{13}{9}\\x=-\dfrac{19}{9}\end{matrix}\right.\)
\(\left(-2\dfrac{2^{ }}{3}\right)^2\)-x\(\div\)-\(\dfrac{1}{3}\)=0
\(\left(\dfrac{-10}{3}\right)^2\)-x=0\(\times\)\(-\dfrac{1}{3}\)
-\(\dfrac{100}{9}\)-x=0
x=-\(\dfrac{100}{9}\)-0
x=-\(\dfrac{100}{9}\)