`a, (x+5)(2x+1) = 0`
`<=>` \(\left[{}\begin{matrix}x+5=0\\2x+1=0\end{matrix}\right.\)
`<=>` \(\left[{}\begin{matrix}x=-5\\x=-\dfrac{1}{2}\end{matrix}\right.\)
`b, (x-3)(x+2) = 0`
`<=>` \(\left[{}\begin{matrix}x-3=0\\x+2=0\end{matrix}\right.\)
`<=>` \(\left[{}\begin{matrix}x=3\\x=-2\end{matrix}\right.\)
`c, 2(x+5) - x(x+5) = 0`
`<=> (2-x)(x+5) = 0`
`<=>`\(\left[{}\begin{matrix}2-x=0\\x+5=0\end{matrix}\right.\)
`<=>` \(\left[{}\begin{matrix}x=2\\x=-5\end{matrix}\right.\)
\((x+5)(2x+1)=0\)
\(<=>[(x+5)=0<=>[x=-5\)
\(<=>(2x+1)=0<=>[x=\dfrac{-1}{2}\)
\(x(x+2)-3(x+2)=0\)
\(<=>(x+2)(x-3)=0\)
\(<=>[(x+2)=0<=>[x=-2\)
\(<=>[(x-3)=0<=>[x=3\)
\(2(x+5)-x^2-5x)=0\)
\(<=>2(x+5)-x(x+5)=0\)
\(<=>(x+5)(2-x)=0\)
\(<=>[(x+5)=0<=>[x=-5\)
\(<=>[(2-x)=0<=>[x=2\)