SOLUTION: 2 t --- = ---- t 5t-12 on this one you take 2 divided by t = t divided by 5t-12 I just need to know what to do with this p

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Question 3754: 2 t
--- = ----
t 5t-12
on this one you take 2 divided by t = t divided by 5t-12
I just need to know what to do with this problem. Thanks.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
multiply both sides by 5t-12, so that the 5t-12 cancels with the 5t-12 on the denominator on the right hand side. And then multiply both sides by t, so that the t on the left hand side will cancel with the denominator. This is basically what people call cross-multiplying:

%282%2Ft%29+=+%28%28t%29%2F%285t-12%29%29

%282%285t-12%29%2Ft%29+=+%28%28t%285t-12%29%29%2F%285t-12%29%29

%282%285t-12%29%2Ft%29+=+t and then:

%282t%285t-12%29%2Ft%29+=+t%5E2

2%285t-12%29+=+t%5E2. You should be able to get from your question to this line in one line - i have just shown the whole process.

Now expand and re-order to get a quadratic:

10t-24+=+t%5E2
t%5E2-10t%2B24+=+0

Now look to factorise this. If you cannot see the factors in there, then you will have to use the quadratic formula. I can see the factors though:

(x-6)(x-4) = 0

so now, either x-6=0 or x-4=0

so, x=6 or x=4

jon.