\(c,\Leftrightarrow x^{13}-27x^{10}=0\\ \Leftrightarrow x^{10}\left(x^3-27\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x^3=27\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=3\end{matrix}\right.\\ d,\Leftrightarrow\left(4x-1\right)^4-\left(4x-1\right)^2=0\\ \Leftrightarrow\left(4x-1\right)^2\left[\left(4x-1\right)^2-1\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}4x-1=0\\4x-1=1\\4x-1=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{4}\\x=\dfrac{1}{2}\\x=0\end{matrix}\right.\)
d: \(\left(4x-1\right)^2=\left(4x-1\right)^4\)
\(\Leftrightarrow4x\left(4x-1\right)\left(4x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{4}\\x=\dfrac{1}{2}\end{matrix}\right.\)
