Answer
-7, 7
Work Step by Step
Since the coefficient of the squared term is one, we know that the expression must factor to:
$$ (a\pm a)(a\pm b)$$
Here, we see that a and b must multiply to get $-49$ and add to get $0$. Thus, we find that the solution is:
$$(a+7)(a-7)$$
Thus, setting each factor equal to zero, we find that the solutions are:
$$-7,7$$