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Simplifying 56 = -16t2 + 56t + 1 Reorder the terms: 56 = 1 + 56t + -16t2 Solving 56 = 1 + 56t + -16t2 Solving for variable 't'. Combine like terms: 56 + -1 = 55 55 + -56t + 16t2 = 1 + 56t + -16t2 + -1 + -56t + 16t2 Reorder the terms: 55 + -56t + 16t2 = 1 + -1 + 56t + -56t + -16t2 + 16t2 Combine like terms: 1 + -1 = 0 55 + -56t + 16t2 = 0 + 56t + -56t + -16t2 + 16t2 55 + -56t + 16t2 = 56t + -56t + -16t2 + 16t2 Combine like terms: 56t + -56t = 0 55 + -56t + 16t2 = 0 + -16t2 + 16t2 55 + -56t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 55 + -56t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 3.4375 + -3.5t + t2 = 0 Move the constant term to the right: Add '-3.4375' to each side of the equation. 3.4375 + -3.5t + -3.4375 + t2 = 0 + -3.4375 Reorder the terms: 3.4375 + -3.4375 + -3.5t + t2 = 0 + -3.4375 Combine like terms: 3.4375 + -3.4375 = 0.0000 0.0000 + -3.5t + t2 = 0 + -3.4375 -3.5t + t2 = 0 + -3.4375 Combine like terms: 0 + -3.4375 = -3.4375 -3.5t + t2 = -3.4375 The t term is -3.5t. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5t + 3.0625 + t2 = -3.4375 + 3.0625 Reorder the terms: 3.0625 + -3.5t + t2 = -3.4375 + 3.0625 Combine like terms: -3.4375 + 3.0625 = -0.375 3.0625 + -3.5t + t2 = -0.375 Factor a perfect square on the left side: (t + -1.75)(t + -1.75) = -0.375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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