What is the sum of all possible solutions to |x - 3|^2 + |x - 3| = 42 ?	Choose the correct answer:
A) 4
B) 3
C) 5
D) 6
E) 2
Denote |x - 3| as y: y^2 + y = 42 --&gt; y = -7 or y = 6. Discard the first solution since y = |x - 3|, so it's an absolute value and thus cannot be negative.   y = |x - 3| = 6 --&gt; x = 9 or x = -4. The sum = 5.   Answer: 5.
<result>C</result>
What is the sum of all possible solutions to |x - 3|^2 + |x - 3| = 42 ?