Answer
-7, -12
Work Step by Step
Since the coefficient of the squared term is one, we know that the expression must factor to:
$$ (x\pm a)(x\pm b)$$
Here, we see that a and b must multiply to get $84$ and add to get $19$. Thus, we find that the solution is:
$$(x+12)(x+7)$$
Thus, setting each factor equal to zero, we find that the solutions are:
$$-7,-12 $$
