SOLUTION: A product of some negative number and 4 less than twice that number is 336. Find the number.

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Question 904046: A product of some negative number and 4 less than twice that number is 336. Find the number.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
n%3C0;
n%28-4%2B2n%29=336
n%282n-4%29=336
2%2An%28n-2%29=336
n%28n-2%29=168
n%5E2-2n-168=0

168=6*28=2*3*4*7=12*14

The quadratic member is factorable.
%28n%2B12%29%28n-14%29=0

We want the negative number as specified in the description, so highlight%28n=-12%29.