document.write( "Question 78125: Solve and check the following equations for x.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "5/x+6 + 2/x^2 + 7x+6 = 3/x+1
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #56076 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve and check the following equations for x.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5%2F%28%28x%2B6%29%29\" + \"2%2F%28%28x%5E2%2B7x%2B6%29%29\" = \"3%2F%28%28x%2B1%29%29\"
\n" ); document.write( ":
\n" ); document.write( "\"5%2F%28%28x%2B6%29%29\" + \"2%2F%28%28x%2B1%29%28x%2B6%29%29\" = \"3%2F%28%28x%2B1%29%29\": factored (x^2+7x+6)
\n" ); document.write( ":
\n" ); document.write( "Multiply thru by (x+6)(x+1) and you have:
\n" ); document.write( "5(x+1) + 2 = 3(x+6)
\n" ); document.write( ":
\n" ); document.write( "5x + 5 + 2 = 3x + 18
\n" ); document.write( ":
\n" ); document.write( "5x + 7 = 3x + 18
\n" ); document.write( ":
\n" ); document.write( "5x - 3x = 18 - 7
\n" ); document.write( ":
\n" ); document.write( "2x = 11
\n" ); document.write( ":
\n" ); document.write( "x = 11/2 = 5.5
\n" ); document.write( ":
\n" ); document.write( "I'll let you check it: substitute 5.5 for x in the original equation.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );