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Simplifying P(t) = 0.5t2 + -9.5t + 9 Multiply P * t tP = 0.5t2 + -9.5t + 9 Reorder the terms: tP = 9 + -9.5t + 0.5t2 Solving tP = 9 + -9.5t + 0.5t2 Solving for variable 't'. Reorder the terms: -9 + 9.5t + tP + -0.5t2 = 9 + -9.5t + 0.5t2 + -9 + 9.5t + -0.5t2 Reorder the terms: -9 + 9.5t + tP + -0.5t2 = 9 + -9 + -9.5t + 9.5t + 0.5t2 + -0.5t2 Combine like terms: 9 + -9 = 0 -9 + 9.5t + tP + -0.5t2 = 0 + -9.5t + 9.5t + 0.5t2 + -0.5t2 -9 + 9.5t + tP + -0.5t2 = -9.5t + 9.5t + 0.5t2 + -0.5t2 Combine like terms: -9.5t + 9.5t = 0.0 -9 + 9.5t + tP + -0.5t2 = 0.0 + 0.5t2 + -0.5t2 -9 + 9.5t + tP + -0.5t2 = 0.5t2 + -0.5t2 Combine like terms: 0.5t2 + -0.5t2 = 0.0 -9 + 9.5t + tP + -0.5t2 = 0.0 The solution to this equation could not be determined.
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