\[y = px^{2} - (p + 12)x - 15;\ \ \ \ \]
\[x = - 1\]
\[\frac{p + 12}{2p} = - 1\]
\[p + 12 = - 2p\]
\[3p = - 12\]
\[p = - 4\]
\[Ответ:p = - 4.\ \]