`25-3|x-2|=1`
`3|x-2|=24`
`|x-2|=8`
\(\left[ \begin{array}{l}x-2=8\\x-2=-8\end{array} \right.\)
\(\left[ \begin{array}{l}x=10\\x=-6\end{array} \right.\)
`----------------`
`(5x-10)(x-2)=0`
`5(x-2)(x-2)=0`
`(x-2)^2=0`
`x-2=0`
`x=2`
`----------------`
`(7x+14)(130-36x)=0`
`7(x+2).2(65-18x)=0`
`(x+2)(65-18x)=0`
\(\left[ \begin{array}{l}x+2=0\\65-18x=0\end{array} \right.\)
\(\left[ \begin{array}{l}x=-2\\18x=65\end{array} \right.\)
\(\left[ \begin{array}{l}x=-2\\x=\cfrac{65}{18}\end{array} \right.\)