Ta có:
\(\left(x-1\right)\left(x+2\right)\left(x-3\right)\left(x+4\right)=144\)
\(\Leftrightarrow\left(x^2-x-2\right)\left(x^2-x-12\right)=144\)
Đặt \(x^2-x-7=m\left(1\right)\),Ta có:
\(\Leftrightarrow\left(m+5\right)\left(m-5\right)=144\)
\(\Leftrightarrow m^2=169\Rightarrow m=13\)
Thay \(\left(1\right)=13\)
\(\Rightarrow x^2-x-7=13\)
\(\Leftrightarrow\left(x-5\right)\left(x+4\right)=0\)
\(\Rightarrow x=5;x=-4\)