\(3\sqrt{x}-2x=0\)
\(\Leftrightarrow3\sqrt{x}=2x\)
\(\Leftrightarrow\sqrt{x}=\frac{2x}{3}\)
\(\Leftrightarrow\left(\sqrt{x}\right)^2=\frac{4x^2}{9}\)
\(\Leftrightarrow x=\frac{4x^2}{9}\)
\(\Leftrightarrow\frac{4x^2}{x}=9\)
\(\Leftrightarrow4x=9\)
\(\Leftrightarrow x=\frac{9}{4}\)
\(3\sqrt{x}-2x=0\)
\(\Leftrightarrow9x-4x^2=0\)
\(\Leftrightarrow x\left(9-4x\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\9-4x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=\frac{9}{4}\end{cases}}}\)
