`32x+x^2=2448`
`⇔ x^2 + 32x - 2448 = 0`
`⇔ x^2 + 68x - 36x - 2448 = 0`
`⇔ x(x + 68) - 36(x + 68) = 0`
`⇔ (x - 36)(x + 68) = 0`
`⇔` \(\left[ \begin{array}{l}x-36=0\\x+68=0\end{array} \right.\) `⇔` \(\left[ \begin{array}{l}x=36\\x=-68\end{array} \right.\)