document.write( "Question 191192: 4 x+20/x^2+5x= \n" ); document.write( "
Algebra.Com's Answer #143494 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"%284x%2B20%29%2F%28x%5E2%2B5x%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284%28x%2B5%29%29%2F%28x%5E2%2B5x%29\" Factor \"4x%2B20\" to get \"4%28x%2B5%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284%28x%2B5%29%29%2F%28x%2A%28x%2B5%29%29\" Factor \"x%5E2%2B5x\" to get \"x%2A%28x%2B5%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284%2Ahighlight%28%28x%2B5%29%29%29%2F%28x%2Ahighlight%28%28x%2B5%29%29%29\" Highlight the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%284%2Across%28%28x%2B5%29%29%29%2F%28x%2Across%28%28x%2B5%29%29%29\" Cancel out the common terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4%2Fx\" Simplify. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%284x%2B20%29%2F%28x%5E2%2B5x%29\" simplifies to \"4%2Fx\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, \"%284x%2B20%29%2F%28x%5E2%2B5x%29=4%2Fx\" where \"x%3C%3E-5\" or \"x%3C%3E0\"
\n" ); document.write( "
\n" ); document.write( "
\n" );