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Simplifying 17 = -16t2 + 16t Reorder the terms: 17 = 16t + -16t2 Solving 17 = 16t + -16t2 Solving for variable 't'. Reorder the terms: 17 + -16t + 16t2 = 16t + -16t + -16t2 + 16t2 Combine like terms: 16t + -16t = 0 17 + -16t + 16t2 = 0 + -16t2 + 16t2 17 + -16t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 17 + -16t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.0625 + -1t + t2 = 0 Move the constant term to the right: Add '-1.0625' to each side of the equation. 1.0625 + -1t + -1.0625 + t2 = 0 + -1.0625 Reorder the terms: 1.0625 + -1.0625 + -1t + t2 = 0 + -1.0625 Combine like terms: 1.0625 + -1.0625 = 0.0000 0.0000 + -1t + t2 = 0 + -1.0625 -1t + t2 = 0 + -1.0625 Combine like terms: 0 + -1.0625 = -1.0625 -1t + t2 = -1.0625 The t term is -1t. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = -1.0625 + 0.25 Reorder the terms: 0.25 + -1t + t2 = -1.0625 + 0.25 Combine like terms: -1.0625 + 0.25 = -0.8125 0.25 + -1t + t2 = -0.8125 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = -0.8125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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