`(x+1/2)^13=(x+1/2)^11`
`⇔(x+1/2)^13-(x+1/2)^11=0`
`⇔(x+1/2)^11 [(x+1/2)^2-1]=0`
`⇔`\(\left[ \begin{array}{l}x+\dfrac{1}{2}=0\\x+\dfrac{1}{2}=±1\end{array} \right.\)
`⇔`\(\left[ \begin{array}{l}x=\dfrac{-1}{2}\\x=\dfrac{1}{2};\dfrac{-3}{2}\end{array} \right.\)