document.write( "Question 132602This question is from textbook Algebra II
\n" ); document.write( ": \"+3%2F%28x-2%29+%2B+5%2F%28x%2B2%29+=+4x%5E2%2F%28x%5E2-4%29+\"\r
\n" ); document.write( "\n" ); document.write( "I am trying to solve this problem however I do not even know how to begin to work it out. How do I solve this problem?
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Algebra.Com's Answer #96902 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"+3%2F%28x-2%29+%2B+5%2F%28x%2B2%29+=+4x%5E2%2F%28x%5E2-4%29+\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"+3%2F%28x-2%29+%2B+5%2F%28x%2B2%29+=+4x%5E2%2F%28%28x-2%29%28x%2B2%29%29+\" Factor \"x%5E2-4\" to get \"%28x-2%29%28x%2B2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Notice how the LCD is \"%28x-2%29%28x%2B2%29\"\r
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\n" ); document.write( "\n" ); document.write( " Multiply both sides by the LCD \"%28x-2%29%28x%2B2%29\". Doing this will eliminate every fraction.\r
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\n" ); document.write( "\n" ); document.write( "\"3%28x%2B2%29%2B5%28x-2%29=4x%5E2\" Distribute and multiply. Notice every denominator has been canceled out.\r
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\n" ); document.write( "\n" ); document.write( "\"3x%2B6%2B5x-10=4x%5E2\" Distribute again\r
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\n" ); document.write( "\n" ); document.write( "\"8x-4=4x%5E2\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"8x-4-4x%5E2=0\" Subtract \"4x%5E2\" from both sides. \r
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\n" ); document.write( "\n" ); document.write( "\"-4x%5E2%2B8x-4=0\" Rearrange the terms\r
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\n" ); document.write( "\n" ); document.write( "\"-4%28x-1%29%28x-1%29=0\" Factor the left side (note: if you need help with factoring, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( "\"x-1=0\" or \"x-1=0\" \r
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\n" ); document.write( "\n" ); document.write( "\"x=1\" or \"x=1\" Now solve for x in each case\r
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\n" ); document.write( "\n" ); document.write( "Since we have a repeating answer, our only answer is \"x=1\"\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x=1\"\r
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