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two factors of 72 that add up to equal -18

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Since the factors add to equal -18, we know the two factors must both be negative (two negatives added equals a negative -- two negatives multiplied equals a positive).

FACTORS OF 72 (NEGATIVE):
-1 × -72
-2 × -36
-3 × -24
-4 × -18
-6 × -12 
-8 × -9

-6 + -12 = -18

Factors of 72 that add to equal -18: -6 and -12
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