ĐKXĐ:\(2x-5\ne0\Rightarrow x\ne\dfrac{5}{2}\)
\(\dfrac{4x^2-25}{2x-5}=0\\ \Leftrightarrow\dfrac{\left(2x-5\right)\left(2x+5\right)}{2x-5}=0\\ \Leftrightarrow2x+5=0\\ \Leftrightarrow x=-\dfrac{5}{2}\left(tm\right)\)
\(\dfrac{4x^2-25}{2x-5}\)
\(=\dfrac{\left(2x-5\right)\left(2x+5\right)}{2x-5}\)\(=2x+5=0\)
\(\Rightarrow x=-\dfrac{5}{2}\)