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To find two numbers that multiply to 40 and add to -22, we can set up a system of equations. Let the two numbers be x and y. We have the equations xy = 40 and x + y = -22. By substituting y = -22 - x into the first equation, we get x(-22 - x) = 40. Simplifying this equation gives us x^2 + 22x - 40 = 0. Solving this quadratic equation gives us the two numbers: x = -20 and y = -2.
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