document.write( "Question 257092: (t+k)/2=(t^2-t-7)/(2+2t)\r
\n" ); document.write( "\n" ); document.write( "solve for t. \n" ); document.write( "

Algebra.Com's Answer #189067 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
We have the following:
\n" ); document.write( " $\"%28t%2Bk%29%2F2\"$ = $\"%28t%5E2-t-7%29%2F%282%2B2t%29+\"$
\n" ); document.write( "step 1 - cross multiply to get
\n" ); document.write( " $\"%28t%2Bk%29%282%2B2t%29+=+%28t%5E2-t-7%29%2A%282%29\"$
\n" ); document.write( "step 2 - distribute to get
\n" ); document.write( " $\"2t%5E2+%2B+2t+%2B+2k+%2B+2kt+=+2t%5E2+-+2t+-+14\"$
\n" ); document.write( "simplify and get
\n" ); document.write( " $\"4t+%2B+2k+%2B+2kt+%2B+14+=+0\"$
\n" ); document.write( "pulling out the GCF of t, we get
\n" ); document.write( " $\"t%284%2B2k%29+=+-2k+-+14\"$
\n" ); document.write( "dividing, we get
\n" ); document.write( " $\"t+=+%28-2k-14%29%2F%284%2B2k%29\"$
\n" ); document.write( "simplifying, we get
\n" ); document.write( " $\"t+=+%28-k-7%29%2F%282%2Bk%29\"$ \n" ); document.write( "

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