\(3\left(4x-5\right)^2-8x+10=0\)
\(\Leftrightarrow\)\(3\left(4x-5\right)\left(4x-5\right)-2\left(4x-5\right)=0\)
\(\Leftrightarrow\)\(\left(4x-5\right)\left[2\left(4x-5\right)-2\right]=0\)
\(\Leftrightarrow\)\(\left(4x-5\right)\left(8x-10-2\right)=0\)
\(\Leftrightarrow\)\(\left(4x-5\right)\left(8x-12\right)=0\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}4x-5=0\\8x-12=0\end{cases}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=\frac{5}{4}\\x=1,5\end{cases}}\)
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