\(\frac{-32}{27}-\left(3x-\frac{7}{9}\right)^3=\frac{-24}{27}\)
\(-\left(3x-\frac{7}{9}\right)^3=\frac{-24}{27}+\frac{32}{27}\)
\(-\left(3x-\frac{7}{9}\right)^3=\frac{8}{27}\)
\(\left(3x-\frac{7}{9}\right)^3=\frac{-8}{27}\)
\(\left(3x-\frac{7}{9}\right)^3=\left(\frac{-2}{3}\right)^3\)
\(3x-\frac{7}{9}=\frac{-2}{3}\)
\(3x=\frac{-2}{3}+\frac{7}{9}\)
\(3x=\frac{1}{9}\)
\(x=\frac{1}{9}:3\)
\(x=\frac{1}{27}\)
\(V\text{ậy}\) \(x=\frac{1}{27}\)
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\(\Leftrightarrow-\left(3x-\frac{7}{9}\right)^3=-\frac{24}{27}+\frac{32}{27}\)
\(\Leftrightarrow-\left(3x-\frac{7}{9}\right)^3=\frac{8}{27}\)
\(\Leftrightarrow\left(3x-\frac{7}{9}\right)^3=-\frac{8}{27}\)
\(\Leftrightarrow3x-\frac{7}{9}=-\frac{2}{3}\)
\(\Leftrightarrow3x=\frac{1}{9}\)
\(\Leftrightarrow x=\frac{1}{27}\)