SOLUTION: Please solve the equation. {{{(k)/(7-k)-(2)/(k)=3}}}

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Question 48560: Please solve the equation.
%28k%29%2F%287-k%29-%282%29%2F%28k%29=3
Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
%28k%29%2F%287-k%29-%282%29%2F%28k%29=3
k%5E2-2%287-k%29=3%287-k%29%28k%29
k%5E2-14%2B2k+=21k-3k%5E2
4k%5E2-10k-14=0
2%282k%5E2-5k-7%29=0
2%282k%5E2-2k-7k-7%29=0
2%282k%28k%2B1%29-7%28k%2B1%29%29=0
2%282k-7%29%28k%2B1%29=0
2k-7=0 or k+1=0
2k=7 or k=-1
k=7/2 or k=-1