document.write( "Question 111206This question is from textbook university of Phoenix Elementary and Intermediate Algebra
\n" ); document.write( ": Ok this is my 4th and final question of the day. you guys are awesome to spend your time helping non math minded people like myself:)\r
\n" ); document.write( "\n" ); document.write( "solve the equation:
\n" ); document.write( "x+6/3=x+6/x \n" ); document.write( "

Algebra.Com's Answer #81109 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'm not sure whether you meant: $\"x%2B%286%2F3%29=x%2B%286%2Fx%29\"$ or $\"%28x%2B6%29%2F3=%28x%2B6%29%2Fx\"$ .
\n" ); document.write( ":
\n" ); document.write( " $\"x%2B%286%2F3%29=x%2B%286%2Fx%29\"$
\n" ); document.write( " $\"x%2B2-x=x-x%2B%286%2Fx%29\"$
\n" ); document.write( " $\"2=6%2Fx\"$
\n" ); document.write( " $\"12=1%2Fx\"$
\n" ); document.write( " $\"x=1%2F12\"$
\n" ); document.write( ":
\n" ); document.write( "Or if you meant the second way:
\n" ); document.write( ":
\n" ); document.write( " $\"%28x%2B6%29%2F3=%28x%2B6%29%2Fx\"$ . For this you need to remember the following rule:
\n" ); document.write( "if $\"p%2Fq=r%2Fs\"$ , then $\"ps=rq\"$ . In this case:
\n" ); document.write( " $\"x%28x%2B6%29=3%28x%2B6%29\"$
\n" ); document.write( " $\"x%5E2%2B6x=3x%2B18\"$
\n" ); document.write( " $\"x%5E2%2B3x-18=0\"$
\n" ); document.write( " $\"%28x%2B6%29%28x-3%29=0\"$
\n" ); document.write( "Hence:
\n" ); document.write( " $\"x=-6\"$ or $\"x=3\"$
\n" ); document.write( "Both of which are in the domain of the function, since the only real number excluded from the domain is 0 -- the right side of the equation would be undefined for x = 0.
\n" ); document.write( ":
\n" ); document.write( "To avoid confusion next time, use parentheses, like this: (x+6)/3=(x+6)/x
\n" ); document.write( " \n" ); document.write( "

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