SOLUTION: How do I solve 2|x+2|+14=9

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Question 211310: How do I solve 2|x+2|+14=9
Found 2 solutions by jim_thompson5910, plydry28:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2Aabs%28x%2B2%29%2B14=9 Start with the given equation


2%2Aabs%28x%2B2%29=-5 Subtract 14 from both sides.


abs%28x%2B2%29=-2.5 Divide both sides by 2



Since the equation abs%28x%2B2%29=-2.5 is never true (note: remember, the absolute value of any number is always positive), there are no solutions to abs%28x%2B2%29=-2.5


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Answer:

There are no solutions

Answer by plydry28(2) About Me  (Show Source):
You can put this solution on YOUR website!
There is no answer to this problem. The problem is wrong to start with. If you subtract 14 from both sides you get -5 on the right. Divide this by two and you get -5/2. The left side of the equation says that the absolute value of x+2 is equal to this. This is impossible because a negative number inside an absolute value yeilds a positive number and a positive number inside an absolute value also yeilds a positive number. Therefore this absolute value can not produce a negative number.