\(9x^2-16=0\\
\Leftrightarrow\left(3x\right)^2-4^2=0\\
\Leftrightarrow\left(3x-4\right)\left(3x+4\right)=0\\
\Leftrightarrow\left[{}\begin{matrix}3x+4=0\\3x-4=0\end{matrix}\right.\\
\Leftrightarrow\left[{}\begin{matrix}3x=-4\\3x=4\end{matrix}\right.\\
\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{4}{3}\\x=\dfrac{4}{3}\end{matrix}\right.\)
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