a) \(\dfrac{2}{3}x.\left(x-8\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{2}{3}x=0\\x-8=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=8\end{matrix}\right.\)
Vậy x=0 ; x=8
nên x=0 hoặc x-8=0
x-8=0
x=8
vậy x thuộc 0 và 8
\(a,\dfrac{2}{3}x.\left(x-8\right)=0\)
Th1: Nếu x-8=0
\(\Rightarrow x-8=0:\dfrac{2}{3}x\)
\(\Rightarrow x-8=0\)
\(\Rightarrow x=0+8=8\)
Th2: Nếu \(\dfrac{2}{3}x=0\)
\(\Rightarrow x=0:\dfrac{2}{3}=0\)
Vậy \(x\in\left\{0;8\right\}\)