Question 59584: how do you simplify 2/2-(2/(2-x))
Answer by tutorcecilia(2152)   (Show Source):
You can put this solution on YOUR website! 2/2-(2/(2-x))[Multiply through by the common denominator to get rid of the fraction]
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Common denominator = (2)(2-x)
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So,
(2)(2-x)[2/2-(2/(2-x)]
(2)(2-x)-(2)(2) [Simplify]
4-2x-4=0 [Set the expression equal to zero]
-2x=0 [solve for x]
x=0
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Check by plugging (x=0) back into the original equation]
(2/2-(2/(2-x))=0
1-(2/(2-0)=0
1-(2/2)=0
1-1=0
0=0 [checks out]
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