Chapter 11 - Additional Topics - 11.1 - Equations and Inequalities Involving Absolute Value - Problem Set 11.1 - Page 475: 49

$-6$

The lowest possible value of an absolute value is 0, so the only possible output of this absolute value that is less than or equal to zero is 0. Thus, we look for when the value inside the absolute value bars is 0, which occurs when x equals -6.