document.write( "Question 779410: Please help me solve this equation:
\n" ); document.write( "I have to find the missing expression.
\n" ); document.write( "The letter n is actually a question mark in my math book.
\n" ); document.write( " $\"+2x+over+x%5E3-3x%5E2+%2A+x%5E2-x-6+over+n+=+1+over+3x+\"$ \n" ); document.write( "

Algebra.Com's Answer #475224 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%282x%29%2F%28x%5E3-3x%5E2%29\"$ * $\"%28x%5E2-x-6%29%2Fn\"$ = $\"1%2F%283x%29\"$
\n" ); document.write( "Factor
\n" ); document.write( " $\"%282x%29%2F%28x%5E2%28x-3%29%29\"$ * $\"%28%28x-3%29%28x%2B2%29%29%2Fn\"$ = $\"1%2F%283x%29\"$
\n" ); document.write( "Cancel x and (x-3)
\n" ); document.write( " $\"%282%29%2F%28x%29\"$ * $\"%28%28x%2B2%29%29%2Fn\"$ = $\"1%2F%283x%29\"$
\n" ); document.write( "which is:
\n" ); document.write( " $\"%282%28x%2B2%29%29%2F%28nx%29\"$ = $\"1%2F%283x%29\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "nx = 2(x+2) * 3x
\n" ); document.write( "nx = (2x + 4) * 3x
\n" ); document.write( "nx = 6x^2 + 12x
\n" ); document.write( "divide both sides by x
\n" ); document.write( "n = (6x + 12)
\n" ); document.write( "therefore our equation is:
\n" ); document.write( " $\"%282x%29%2F%28x%5E3-3x%5E2%29\"$ * $\"%28x%5E2-x-6%29%2F%286x%2B12%29\"$ = $\"1%2F%283x%29\"$
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You can check this out, factor the above
\n" ); document.write( " $\"%282x%29%2F%28x%5E2%28x-3%29%29\"$ * $\"%28%28x-3%29%28x%2B2%29%29%2F%286%28x%2B2%29%29\"$ = $\"1%2F%283x%29\"$
\n" ); document.write( "Cancel x, (x-3), and (x+2)
\n" ); document.write( " $\"%282%29%2F%28x%29\"$ * $\"1%2F6\"$ = $\"1%2F%283x%29\"$
\n" ); document.write( "which is
\n" ); document.write( " $\"2%2F%286x%29\"$ = $\"1%2F%283x%29\"$ ; confirms our answer of n = (6x+12)
\n" ); document.write( " \n" ); document.write( "

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