\(\left(2x-3\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-2\end{matrix}\right.\)
\(\dfrac{2x-1}{2\left(x-1\right)}+1=\dfrac{1}{x-1}\)
\(\Rightarrow2x-1+2\left(x-1\right)=2\)
\(\Leftrightarrow2x-1+2x-1=2\)
\(\Leftrightarrow4x=4\)
\(\Leftrightarrow x=1\)
f.\(\left(2x-3\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-3=0\\x+2=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-2\end{matrix}\right.\)
g.\(\dfrac{2x-1}{2\left(x-1\right)}+1=\dfrac{1}{x-1}\)
\(ĐK:x\ne1\)
\(\Leftrightarrow\dfrac{2x-1+2\left(x-1\right)}{2\left(x-1\right)}=\dfrac{2}{2\left(x-1\right)}\)
\(\Leftrightarrow2x-1+2\left(x-1\right)=2\)
\(\Leftrightarrow2x-1+2x+2=2\)
\(\Leftrightarrow4x=1\)
\(\Leftrightarrow x=\dfrac{1}{4}\left(tm\right)\)
