What is the sum of all possible solutions to |x + 3|^2 + |x + 3| = 20 ?
Options.
A) -1 B) 6 C) 7 D) 12 E) 14
Denote |x + 3| as y: y^2 + y = 20 --&gt; y = -5 or y = 4. Discard the first solution since y = |x + 3|, so it's an absolute value and thus cannot be negative.   y = |x + 3| = 4 --&gt; x = 7 . The sum = 7.   Answer: 7.
<result>C</result>
What is the sum of all possible solutions to |x + 3|^2 + |x + 3| = 20 ?