`27x^2 - 960x - 432 = 0`
`⇔ 3(9x^2 - 320x - 144) = 0`
`⇔ 9x^2 - 320x - 144 = 0`
`⇔ 9x^2 - 324x + 4x - 144 = 0`
`⇔ 9x(x - 36) + 4(x - 36) = 0`
`⇔ (9x + 4)(x - 36) = 0`
`⇔` \(\left[ \begin{array}{l}9x+4=0\\x-36=0\end{array} \right.\) `⇔` \(\left[ \begin{array}{l}x=\dfrac{-4}{9}\\x=36\end{array} \right.\)