\(\text{a) (x-4)(x-7)=0}\)
\(\Rightarrow\left[\begin{array}{nghiempt}x-4=0\\x-7=0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=0+4\\x=0+7\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=4\\x=7\end{array}\right.\)
\(\text{b) x.(x+3)=0}\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=0\\x+3=0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=0\\x=0-3=-3\end{array}\right.\)
\(\text{Vậy}\left[\begin{array}{nghiempt}x=0\\x=-3\end{array}\right.\)
\(\text{c)(x-2)(5-x)=0}\)
\(\Rightarrow\left[\begin{array}{nghiempt}x-2=0\\5-x=0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=0+2\\x=5-0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=2\\x=5\end{array}\right.\)
\(\text{d) (x-1).(x^2 +1)=0}\)
\(\Rightarrow\left[\begin{array}{nghiempt}x-1=0\\x^2+1=0\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=0+1=1\\x^2=0-1=-1\end{array}\right.\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=1\\x\in\varnothing\end{array}\right.\)
\(\text{Vậy x=1}\)