SOLUTION: I am terrible at word problems and having difficulties with the following problem: The square of a negative number is twelve more than four times the negative number. Find the numb

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Question 671147: I am terrible at word problems and having difficulties with the following problem: The square of a negative number is twelve more than four times the negative number. Find the number.
So far I have -2+4n+12

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
%28-x%29%5E2+=+12+%2B+4%28-x%29
...
-x%5E2 will give a positive number so,
x%5E2+=+12+-+4x
...
x%5E2+%2B+4x+-+12+=+0
(x-2)(x+6)
x = 2
x = -6
...
Check
2^2 = 12 + 4(-2)
4 = 12 - 8 : Correct
...
-6^2 = 12 + 4(-(-6))
36 = 12 + 24 = 36: Correct
.....................
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