\(28⋮\left(2x+1\right)\)
\(\Rightarrow\left(2x+1\right)\inƯ\left(28\right)=\left\{1;-1;2;-2;4;-4;7;-7;14;-14;28;-28\right\}\)
Do \(x\in N\)
\(\Rightarrow x\in\left\{0;3\right\}\)
28⋮ 2x+1
⇒ 2x+1∈Ư(28)
Mà 2x+1 lẻ và 2x+1≥1 (do x∈N)
⇒ 2x+1={1;7;19}
⇔ x={0;3;9}
Ta có: \(28⋮2x+1\)
\(\Leftrightarrow2x+1\in\left\{1;7\right\}\)
\(\Leftrightarrow2x\in\left\{0;6\right\}\)
hay \(x\in\left\{0;3\right\}\)