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Simplifying 8.6 = -16t2 + 8.5t Reorder the terms: 8.6 = 8.5t + -16t2 Solving 8.6 = 8.5t + -16t2 Solving for variable 't'. Reorder the terms: 8.6 + -8.5t + 16t2 = 8.5t + -8.5t + -16t2 + 16t2 Combine like terms: 8.5t + -8.5t = 0.0 8.6 + -8.5t + 16t2 = 0.0 + -16t2 + 16t2 8.6 + -8.5t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 8.6 + -8.5t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.5375 + -0.53125t + t2 = 0 Move the constant term to the right: Add '-0.5375' to each side of the equation. 0.5375 + -0.53125t + -0.5375 + t2 = 0 + -0.5375 Reorder the terms: 0.5375 + -0.5375 + -0.53125t + t2 = 0 + -0.5375 Combine like terms: 0.5375 + -0.5375 = 0.0000 0.0000 + -0.53125t + t2 = 0 + -0.5375 -0.53125t + t2 = 0 + -0.5375 Combine like terms: 0 + -0.5375 = -0.5375 -0.53125t + t2 = -0.5375 The t term is -0.53125t. Take half its coefficient (-0.265625). Square it (0.07055664063) and add it to both sides. Add '0.07055664063' to each side of the equation. -0.53125t + 0.07055664063 + t2 = -0.5375 + 0.07055664063 Reorder the terms: 0.07055664063 + -0.53125t + t2 = -0.5375 + 0.07055664063 Combine like terms: -0.5375 + 0.07055664063 = -0.46694335937 0.07055664063 + -0.53125t + t2 = -0.46694335937 Factor a perfect square on the left side: (t + -0.265625)(t + -0.265625) = -0.46694335937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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