document.write( "Question 836178: (2x/x^2-4)= (4/x^2-4) - (3/x+2) \r
\n" ); document.write( "\n" ); document.write( "Hi, my name is Grace and I need help solving this linear equation. I've tried to subtract the right side but I got confused. your help would be appreciated!
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Algebra.Com's Answer #504025 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
It's not a linear equation, it's a rational equation (the ratio of two polynomials)
\n" ); document.write( "\"%282x%29%2F%28x%5E2-4%29=+%284%29%2F%28x%5E2-4%29+-+%283%29%2F%28x%2B2%29\"
\n" ); document.write( " Get a common denominator for all terms,
\n" ); document.write( "\"x%5E2-4=%28x%2B2%29%28x-2%29\"
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\n" ); document.write( "\"%282x%29%2F%28%28x%2B2%29%28x-2%29%29=+%284-+3x%2B6%29%2F%28%28x%2B2%29%28x-2%29%29\"
\n" ); document.write( "\"%282x%29%2F%28%28x%2B2%29%28x-2%29%29=+%2810-+3x%29%2F%28%28x%2B2%29%28x-2%29%29\"
\n" ); document.write( "The numerators have to equal each other.
\n" ); document.write( "\"2x=10-3x\"
\n" ); document.write( "\"5x=10\"
\n" ); document.write( "\"x=2\"
\n" ); document.write( "However this value make the denominators of the first and second term equal to zero so it cannot be a solution.
\n" ); document.write( "There are no solutions to this equation.
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