SOLUTION: 24/(x-2)+24/(x+2)=5 please help me solve this problem

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Question 157392: 24/(x-2)+24/(x+2)=5 please help me solve this problem
Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
solving for 24%2F%28x-2%29%2B24%2F%28x%2B2%29=5
first multiply both sides of the equation by (x-2)*(x+2) to remove the denominators.
equation becomes 24%2A%28x%2B2%29+%2B+24%2A%28x-2%29+=+5%2A%28x-2%29%2A%28x%2B2%29
multiplying out on both sides of the equation and it becomes
%2848%2Ax%29+=+5%2A%28x%5E2-4%29 which then becomes
48%2Ax+=+5%2Ax%5E2+-+20
moving all terms to one side of the equation we get the quadratic equation of
5%2Ax%5E2+-+48%2Ax+-+20+=+0
this factors out to
%285%2Ax%2B2%29%2A%28x-10%29=0
and that's your answer.