SOLUTION: solve for thw followig equation (10/t^2-25)-(1/10)=(1/t-5)

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Question 326168: solve for thw followig equation
(10/t^2-25)-(1/10)=(1/t-5)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
10%2F%28t%5E2-25%29-%281%2F10%29=1%2F%28t-5%29
Multiply by 10 to get rid of the fraction.
100%2F%28t%5E2-25%29-1=10%2F%28t-5%29
Use the common denominator, %28t-5%29%28t%2B5%29=t%5E2-25

%28100-t%5E2%2B25-10%28t%2B5%29%29%2F%28%28t-5%29%28t%2B5%29%29=0
The numerator must equal zero.
100-t%5E2%2B25-10t-50=0
-t%5E2-10t%2B75=0
t%5E2%2B10t-75=0
%28t%2B15%29%28t-5%29=0
Two solutions:
t%2B15=0
t=-15
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t-5=0
This solution is not allowed since it would lead to division by zero.
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highlight%28t=-15%29