document.write( "Question 911603: Find all real solutions of the equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)
\n" ); document.write( "(x+6/x)^2 +10(x+6/x)+21=0
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Algebra.Com's Answer #553229 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution.
\n" ); document.write( " $\"u=%28x%2B6%29%2Fx\"$
\n" ); document.write( ".
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\n" ); document.write( " $\"u%5E2%2B10u%2B21=0\"$
\n" ); document.write( " $\"%28u%2B7%29%28u%2B3%29=0\"$
\n" ); document.write( "Two \"u\" solutions:
\n" ); document.write( " $\"u%2B7=0\"$
\n" ); document.write( " $\"u=-7\"$
\n" ); document.write( " $\"%28x%2B6%29%2Fx=-7\"$
\n" ); document.write( " $\"x%2B6=-7x%7D%7D%0D%0A%7B%7B%7B-8x=6\"$
\n" ); document.write( " $\"highlight%28x=-3%2F4%29\"$
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( " $\"u%2B3=0\"$
\n" ); document.write( " $\"u=-3\"$
\n" ); document.write( " $\"%28x%2B6%29%2Fx=-3\"$
\n" ); document.write( " $\"x%2B6=-3x\"$
\n" ); document.write( " $\"-4x=6\"$
\n" ); document.write( " $\"highlight%28x=-3%2F2%29\"$
\n" ); document.write( " \n" ); document.write( "

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