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To find two numbers that multiply to 270 and add to -21, we can set up the equations (x \cdot y = 270) and (x + y = -21). By factoring 270, we find that the numbers -30 and -9 fit these criteria since (-30 \times -9 = 270) and (-30 + -9 = -21). Thus, the two numbers are -30 and -9.
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