Solve for a_5
a_{5}=0
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9a_{5}+a_{5}=0
Add a_{5} to both sides.
10a_{5}=0
Combine 9a_{5} and a_{5} to get 10a_{5}.
a_{5}=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 10 is not equal to 0, a_{5} must be equal to 0.
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