SOLUTION: the product of a number M and six less than M is -5 . what is the sum of all possible values of M ?

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Question 248694: the product of a number M and six less than M is -5 . what is the sum of all possible values of M ?
Answer by dabanfield(803) About Me  (Show Source):
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the product of a number M and six less than M is -5 . what is the sum of all possible values of M ?
M*(M-6) = -5
M^2 - 6M + 5 = 0
(M-5)*(M-1) = 0
So: M=5 or M=1 so the sum of the two solutions is 5+1 = 6