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Simplifying P(q) = 20.5q + -41 + -0.02q2 + 10.4 Multiply P * q qP = 20.5q + -41 + -0.02q2 + 10.4 Reorder the terms: qP = -41 + 10.4 + 20.5q + -0.02q2 Combine like terms: -41 + 10.4 = -30.6 qP = -30.6 + 20.5q + -0.02q2 Solving qP = -30.6 + 20.5q + -0.02q2 Solving for variable 'q'. Reorder the terms: 30.6 + -20.5q + qP + 0.02q2 = -30.6 + 20.5q + -0.02q2 + 30.6 + -20.5q + 0.02q2 Reorder the terms: 30.6 + -20.5q + qP + 0.02q2 = -30.6 + 30.6 + 20.5q + -20.5q + -0.02q2 + 0.02q2 Combine like terms: -30.6 + 30.6 = 0.0 30.6 + -20.5q + qP + 0.02q2 = 0.0 + 20.5q + -20.5q + -0.02q2 + 0.02q2 30.6 + -20.5q + qP + 0.02q2 = 20.5q + -20.5q + -0.02q2 + 0.02q2 Combine like terms: 20.5q + -20.5q = 0.0 30.6 + -20.5q + qP + 0.02q2 = 0.0 + -0.02q2 + 0.02q2 30.6 + -20.5q + qP + 0.02q2 = -0.02q2 + 0.02q2 Combine like terms: -0.02q2 + 0.02q2 = 0.00 30.6 + -20.5q + qP + 0.02q2 = 0.00 The solution to this equation could not be determined.
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