\(\left(4x-1\right)^2=\left(1-4x\right)^6\)
Mà \(\left|4x-1\right|=\left|1-4x\right|\)
\(\Rightarrow\left(4x-1\right)^2=\left(4x-1\right)^6\)
\(\left(4x-1\right)^6-\left(4x-1\right)^2=0\)
\(\left(4x-1\right)^2.\left[\left(4x-1\right)^4-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(4x-1\right)^2=0\\\left(4x-1\right)^4-1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}4x-1=0\\4x-1=1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}4x=1\\4x=2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{4}\\x=\frac{1}{2}\end{cases}}\)
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