bài 1 

a) \(\Rightarrow\left(x-5\right)\left(x-2\right)=0\Leftrightarrow\left\{{}\begin{matrix}x-5=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=5\\x=2\end{matrix}\right.\)

b) \(\Rightarrow3x\left(x-4\right)-\left(x-4\right)=0\Rightarrow\left(x-4\right)\left(3x-1\right)=0\Leftrightarrow\left\{{}\begin{matrix}x-4=0\\3x-1=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=4\\x=\dfrac{1}{3}\end{matrix}\right.\)

c) \(\Rightarrow x\left(x-7\right)+2\left(x-7\right)=0\Leftrightarrow\left(x-7\right)\left(x+2\right)=0\Leftrightarrow\left\{{}\begin{matrix}x-7=0\Rightarrow x=7\\x+2=0\Rightarrow x=-2\end{matrix}\right.\)

d) \(\Rightarrow2x\left(2x+3\right)-\left(2x+3\right)=0\Leftrightarrow\left(2x+3\right)\left(2x-1\right)=0\Leftrightarrow\left\{{}\begin{matrix}2x+3=0\Rightarrow x=\dfrac{-3}{2}\\2x-1=0\Rightarrow x=\dfrac{1}{2}\end{matrix}\right.\)

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