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Simplifying D(t) = -0.4t * 0.4t + 4t + 5 Multiply D * t tD = -0.4t * 0.4t + 4t + 5 Reorder the terms for easier multiplication: tD = -0.4 * 0.4t * t + 4t + 5 Multiply -0.4 * 0.4 tD = -0.16t * t + 4t + 5 Multiply t * t tD = -0.16t2 + 4t + 5 Reorder the terms: tD = 5 + 4t + -0.16t2 Solving tD = 5 + 4t + -0.16t2 Solving for variable 't'. Reorder the terms: -5 + -4t + tD + 0.16t2 = 5 + 4t + -0.16t2 + -5 + -4t + 0.16t2 Reorder the terms: -5 + -4t + tD + 0.16t2 = 5 + -5 + 4t + -4t + -0.16t2 + 0.16t2 Combine like terms: 5 + -5 = 0 -5 + -4t + tD + 0.16t2 = 0 + 4t + -4t + -0.16t2 + 0.16t2 -5 + -4t + tD + 0.16t2 = 4t + -4t + -0.16t2 + 0.16t2 Combine like terms: 4t + -4t = 0 -5 + -4t + tD + 0.16t2 = 0 + -0.16t2 + 0.16t2 -5 + -4t + tD + 0.16t2 = -0.16t2 + 0.16t2 Combine like terms: -0.16t2 + 0.16t2 = 0.00 -5 + -4t + tD + 0.16t2 = 0.00 The solution to this equation could not be determined.
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