Question

`p^(2) +6p=q^(2)+6q.\\p\\eq q.\\Solve for p+q.`

Answer 1

`p + q = -6`

Explanation:

`p^(2) + 6 p = q^(2) + 6q \\p^(2) - q^(2) = 6q - 6p`

`( p + q) ( p-q) = 6 ( q - p )`

`p + q = (6 ( q - p))/((p-q)) \\p + q = (-6( p - q))/((p - q)) \\p + q = -6`