document.write( "Question 59584: how do you simplify 2/2-(2/(2-x)) \n" ); document.write( "
Algebra.Com's Answer #40865 by tutorcecilia(2152)\"\" \"About 
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2/2-(2/(2-x))[Multiply through by the common denominator to get rid of the fraction]
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\n" ); document.write( "Common denominator = (2)(2-x)
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\n" ); document.write( "So,
\n" ); document.write( "(2)(2-x)[2/2-(2/(2-x)]
\n" ); document.write( "(2)(2-x)-(2)(2) [Simplify]
\n" ); document.write( "4-2x-4=0 [Set the expression equal to zero]
\n" ); document.write( "-2x=0 [solve for x]
\n" ); document.write( "x=0
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\n" ); document.write( "Check by plugging (x=0) back into the original equation]
\n" ); document.write( "(2/2-(2/(2-x))=0
\n" ); document.write( "1-(2/(2-0)=0
\n" ); document.write( "1-(2/2)=0
\n" ); document.write( "1-1=0
\n" ); document.write( "0=0 [checks out]
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