SOLUTION: Find all the value(s) of “x” for which the equation is true: |x| = |x+1|

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Question 1076123: Find all the value(s) of “x” for which the equation is true: |x| = |x+1|
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Either both parts inside the absolute values are non-negative or both are negative or one of them is nonnegative while the other is negative.

x and x+1 non-negative:
x=x%2B1
This does not work!


x and x+1 opposite signs:
x=-x-1
2x=-1
x=-1%2F2


or

-x=x%2B1
-2x=1
x=-1%2F2

highlight%28x=-1%2F2%29