document.write( "Question 119141: Solve for x : 1+ 3x/(x+5)(x-2) = 2/(x-5) + 3/(x-2) \n" ); document.write( "
Algebra.Com's Answer #87247 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"1%2B%283x%29%2F%28x%2B5%29%28x-2%29=%282%29%2F%28x-5%29%2B%283%29%2F%28x-2%29\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( " Multiply both sides by the LCD \"%28x%2B5%29%28x-2%29%28x-5%29\". Doing this will eliminate every fraction.\r
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\n" ); document.write( "\n" ); document.write( " Distribute and multiply. Notice every denominator has been canceled out.\r
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\n" ); document.write( "\n" ); document.write( " Foil\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B3x-10%29%28x-5%29%2B3x%5E2-15x=2x%5E2%2B6x-20%2B3x%5E2-75\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3%2B3x%5E2-10x-5x%5E2-15x%2B25%2B3x%5E2-15x=2x%5E2%2B6x-20%2B3x%5E2-75\" Expand\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3%2Bx%5E2-40x%2B50=5x%5E2%2B6x-95\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3%2Bx%5E2-40x%2B50-5x%5E2-6x%2B95=0\" Get all of the terms to the left side\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3-4x%5E2-46x%2B145=0\" Get all of the terms to the left side\r
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\n" ); document.write( "\n" ); document.write( "Now use your calculator to find the roots of the cubic. So the roots are \r
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\n" ); document.write( "\n" ); document.write( "\"x=-6.503\", \"x=2.954\", or \"x=7.549\"
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