document.write( "Question 264746: College algebra last class to an associate degree...math illiterate..please help..\r
\n" ); document.write( "\n" ); document.write( "5w+6 (inside radical) -w=2
\n" ); document.write( "

Algebra.Com's Answer #194851 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%285w%2B6%29-w=2\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sqrt%285w%2B6%29=w%2B2\" Add 'w' to both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5w%2B6=%28w%2B2%29%5E2\" Square both sides to eliminate the square root.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5w%2B6=w%5E2%2B4w%2B4\" FOIL\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=w%5E2%2B4w%2B4-5w-6\" Get all terms to one side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"0=w%5E2-w-2\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"w%5E2-w-2=0\" Rearrange the equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28w-2%29%28w%2B1%29=0\" Factor the left side (note: if you need help with factoring, check out this solver)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"w-2=0\" or \"w%2B1=0\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"w=2\" or \"w=-1\" Now solve for w in each case\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the possible answers are \"w=2\" or \"w=-1\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "However, you need to check if they are actually the answers (by plugging them back into the original equation). I'll leave that up to you.
\n" ); document.write( "
\n" );