What is the sum of all possible solutions to |x - 4|^2 + |x - 4| = 20 ?  Answers:
A) 4  B) 5  C) 6  D) 7  E) 3
Denote |x - 4| as y: y^2 + y = 20 --&gt; y = -5 or y = 4. Discard the first solution since y = |x - 4|, so it's an absolute value and thus cannot be negative.   y = |x - 4| = 4 --&gt; x = 8 or x = -1. The sum = 7.   Answer: 7.
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What is the sum of all possible solutions to |x - 4|^2 + |x - 4| = 20 ?