`b)2x^2-5x+2=0`
`<=>2x^2-4x-x+2=0`
`<=>(x-2)(2x-1)=0`
`<=>[(x=2),(x=1/2):}`
`d)12x^2-53x+20=0`
`<=>12x^2-48x-5x+20=0`
`<=>(x-4)(12x-5)=0`
`<=>[(x=4),(x=5/12):}`
\(b,2x^2-5x+2=0\\ \Leftrightarrow2x^2-4x-x+2=0\\ \Leftrightarrow2x\left(x-2\right)-\left(x-2\right)=0\\ \Leftrightarrow\left(2x-1\right)\left(x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}2x-1=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=2\end{matrix}\right.\\ d,12x^2-53x+20=0\\ \Leftrightarrow12x^2-48x-5x+20=0\\ \Leftrightarrow12x\left(x-4\right)-5\left(x-4\right)=0\\ \Leftrightarrow\left(12x-5\right)\left(x-4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}12x-5=0\\x-4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{12}\\x=4\end{matrix}\right.\)