Question 418526
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Hi
Let x represent this negative number
Question states***
 x = x^2 -56
 Solving for x
  x^2 - x -56 = 0
factoring
 (x-8)(x+7)= 0 |Note:SUM of the inner product(-8x) and the outer product(7x) = -x
  (x-8)=0   x = 8   Tossing out this solution (need negative number)
  (x+7)= 0  
    x = -7, the negative number

CHECKING our Answer***
  -7 = 49-56