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Let the numbers be m & n
Hence
mn = -120
m +n = 7
It follows m = 7 - n
Substitute
(7 - n)n = -120
Multiply out the brackets
7n - n^2 = -120
Form a Quadratic Eq'n
n^2 - 7n - 120 = 0
Factor
(n - 15)(n + 8) = 0
Hence n = 15 & m = -8
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