\((2x-7)^3=8(7-2x)^2\)
⇔ \((2x-7)^3=8(2x-7)^2\) (*)
\(TH1: (2x-7)^2=0\)
Khi đó: \(2x-7=0\) ⇔ \(x=\dfrac{7}{2} \)
\(TH2:\left(2x-7\right)^2\ne0\)
Khi đó: (*) ⇔ \(2x-7=8\) (chia 2 vế cho \((2x-7)^2\))
⇔ \(x=\dfrac{15}{2} \)
Vậy \(x=\dfrac{15}{2}\); \(x=\dfrac{7}{2}\)