SOLUTION: If 6 is added to a number and then subtracted from the same number, the product of the sum and the difference is 189. What is the number?

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Question 144682: If 6 is added to a number and then subtracted from the same number, the product of the sum and the difference is 189. What is the number?
Answer by solver91311(24713) About Me  (Show Source):
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The number: x
6 added to the number (the sum): x+%2B+6
6 subtracted from the number (the difference): x+-+6
Product of the sum and difference is 189: %28x%2B6%29%28x-6%29=189

So: x%5E2-36=189
x%5E2=225
x=15 or x=-15

Check:
15+%2B+6+=+21
15+-+6+=+9
21+%2A+9+=+189

-15+%2B+6+=+-9
-15+-+6+=+-21
-9+%2A+-21+=+189