\(2x^2+9x-5=0\\ \Leftrightarrow\left(2x^2+10x\right)-\left(x+5\right)=0\\ \Leftrightarrow2x\left(x+5\right)-\left(x+5\right)=0\\ \Leftrightarrow\left(x+5\right)\left(2x-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=-5\\x=\dfrac{1}{2}\end{matrix}\right.\)