\(\left(2x-1\right)^5=\left(2x-1\right)^7\)
=>\(\left(2x-1\right)^7-\left(2x-1\right)^5=0\)
=>\(\left(2x-1\right)^5\left[\left(2x-1\right)^2-1\right]=0\)
=>\(\left(2x-1\right)^5\left(2x-1-1\right)\left(2x-1+1\right)=0\)
=>\(2x\left(2x-2\right)\left(2x-1\right)^5=0\)
=>\(\left[{}\begin{matrix}2x=0\\2x-2=0\\\left(2x-1\right)^5=0\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=0\\2x=2\\2x=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=\dfrac{1}{2}\end{matrix}\right.\)
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