\(x=2\)
\(\left(2x+3k-4\right)\left(3x-2k-3\right)=0\)
\(\Leftrightarrow\left(2.2+3k-4\right)\left(3.2-2k-3\right)=0\)
\(\Leftrightarrow3k\left(3-2k\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}k=0\\k=\dfrac{3}{2}\end{matrix}\right.\)
Để phương trình có nghiệm là x=2 thì
\(\left(2.2+3k-4\right)\left(3.2-2k-3\right)=0\)
\(3k\left(3-2k\right)=0\)
=> 3k=0 hoặc 3-2k=0
k=0 2k=3
\(k=\dfrac{3}{2}\)
Vậy....