Question

$p^{2} +6p=q^{2}+6q.\\p\neq q.\\Solve for p+q.$

Answer 1

Answer:

$p + q = -6$

Step-by-step explanation:

$p^{2} + 6 p = q^{2} + 6q \\p^{2} - q^{2} = 6q - 6p$

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

$p + q = \frac{6 ( q - p)}{(p-q)} \\p + q = \frac{-6( p - q)}{(p - q)} \\p + q = -6$