What is the sum of all possible solutions to |x - 6|^2 + |x - 6| = 20 ?  Choose the most appropriate option:
A) -1
B) 6
C) 7
D) 12
E) 14
Denote |x - 6| as y: y^2 + y = 20 --&gt; y = -5 or y = 4. Discard the first solution since y = |x - 6|, so it's an absolute value and thus cannot be negative.   y = |x - 6| = 4 --&gt; x = 10 or x = -2. The sum = 12.   Answer: 12.
<result>D</result>
What is the sum of all possible solutions to |x - 6|^2 + |x - 6| = 20 ?