a: \(5x^2+7x=0\)
=>x(5x+7)=0
=>\(\left[{}\begin{matrix}x=0\\5x+7=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{7}{5}\end{matrix}\right.\)
b: \(27x^2-54x^3=0\)
=>\(27x^2\left(1-2x\right)=0\)
=>\(x^2\left(1-2x\right)=0\)
=>\(\left[{}\begin{matrix}x^2=0\\1-2x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{2}\end{matrix}\right.\)