SOLUTION: -4|x+14|=28
Algebra.Com
Question 181105: -4|x+14|=28
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
This is a trick question. There are no solutions, and here's why. The results of applying the absolute value function are ALWAYS postive. The given equation asks you to multiply something clearly negative, namely -4, times something guaranteed to be positive, namely 
, and create a positive result, namely 28. There is no value of x that will make the given mathematical statement true, therefore the solution set is the empty set.
John
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