document.write( "Question 173382: please help me with this problem. im getting confused. and i really need ur help.\r
\n" ); document.write( "\n" ); document.write( "solve \r
\n" ); document.write( "\n" ); document.write( "x-4 4 29
\n" ); document.write( "---- + ---- = ----
\n" ); document.write( "x+1 x 30\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "please show the work so i can understand it. thank you !!!
\n" ); document.write( "

Algebra.Com's Answer #128228 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "\"%28x-4%29%2F%28x%2B1%29%2B%284%29%2F%28x%29=%2829%29%2F%2830%29\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Multiply every term on both sides by the LCD \"30x%28x%2B1%29\". Doing this will eliminate all of the fractions.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"30x%28x-4%29%2B30%2A4%28x%2B1%29=29x%28x%2B1%29\" Simplify.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"30x%28x-4%29%2B120%28x%2B1%29=29x%28x%2B1%29\" Multiply.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"30x%5E2-120x%2B120x%2B120=29x%5E2%2B29x\" Distribute.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"30x%5E2-120x%2B120x%2B120=29x%5E2%2B29x\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"30x%5E2-120x%2B120x%2B120-29x%5E2-29x=0\" Subtract \"29x%5E2\" from both sides. Subtract 29x from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2-29x%2B120=0\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice we have a quadratic equation in the form of \"ax%5E2%2Bbx%2Bc\" where \"a=1\", \"b=-29\", and \"c=120\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29\" Start with the quadratic formula\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-29%29+%2B-+sqrt%28+%28-29%29%5E2-4%281%29%28120%29+%29%29%2F%282%281%29%29\" Plug in \"a=1\", \"b=-29\", and \"c=120\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2829+%2B-+sqrt%28+%28-29%29%5E2-4%281%29%28120%29+%29%29%2F%282%281%29%29\" Negate \"-29\" to get \"29\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2829+%2B-+sqrt%28+841-4%281%29%28120%29+%29%29%2F%282%281%29%29\" Square \"-29\" to get \"841\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2829+%2B-+sqrt%28+841-480+%29%29%2F%282%281%29%29\" Multiply \"4%281%29%28120%29\" to get \"480\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2829+%2B-+sqrt%28+361+%29%29%2F%282%281%29%29\" Subtract \"480\" from \"841\" to get \"361\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2829+%2B-+sqrt%28+361+%29%29%2F%282%29\" Multiply \"2\" and \"1\" to get \"2\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2829+%2B-+19%29%2F%282%29\" Take the square root of \"361\" to get \"19\". \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2829+%2B+19%29%2F%282%29\" or \"x+=+%2829+-+19%29%2F%282%29\" Break up the expression. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+%2848%29%2F%282%29\" or \"x+=++%2810%29%2F%282%29\" Combine like terms. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x+=+24\" or \"x+=+5\" Simplify. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the answers are \"x+=+24\" or \"x+=+5\" \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );