SOLUTION: t-2/t=2/t+3

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Question 188: t-2/t=2/t+3
Answer by GreyWolf79(3) About Me  (Show Source):
You can put this solution on YOUR website!
You start with %28t-2%29%2Ft=2%2F%28t%2B3%29. The first thing you would do is cross-multiply. You would have %28t-2%29%28t%2B3%29=%282%29%28t%29. When you multiply it out you get t%5E2%2Bt-6=+2t. Subtract 2t from both sides and you get t%5E2-t-6=0. Factor the equation to get %28t-3%29%28t%2B2%29=0. Then you see that t= 3 or t=-2. Substitute the 3 into the original proportion and you get 1%2F3+=+1%2F3. Substitute the -2 into the proportion and you get 2=2.