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Simplifying 17 = 2 + 27t + -16t2 Solving 17 = 2 + 27t + -16t2 Solving for variable 't'. Combine like terms: 17 + -2 = 15 15 + -27t + 16t2 = 2 + 27t + -16t2 + -2 + -27t + 16t2 Reorder the terms: 15 + -27t + 16t2 = 2 + -2 + 27t + -27t + -16t2 + 16t2 Combine like terms: 2 + -2 = 0 15 + -27t + 16t2 = 0 + 27t + -27t + -16t2 + 16t2 15 + -27t + 16t2 = 27t + -27t + -16t2 + 16t2 Combine like terms: 27t + -27t = 0 15 + -27t + 16t2 = 0 + -16t2 + 16t2 15 + -27t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 15 + -27t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.9375 + -1.6875t + t2 = 0 Move the constant term to the right: Add '-0.9375' to each side of the equation. 0.9375 + -1.6875t + -0.9375 + t2 = 0 + -0.9375 Reorder the terms: 0.9375 + -0.9375 + -1.6875t + t2 = 0 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + -1.6875t + t2 = 0 + -0.9375 -1.6875t + t2 = 0 + -0.9375 Combine like terms: 0 + -0.9375 = -0.9375 -1.6875t + t2 = -0.9375 The t term is -1.6875t. Take half its coefficient (-0.84375). Square it (0.7119140625) and add it to both sides. Add '0.7119140625' to each side of the equation. -1.6875t + 0.7119140625 + t2 = -0.9375 + 0.7119140625 Reorder the terms: 0.7119140625 + -1.6875t + t2 = -0.9375 + 0.7119140625 Combine like terms: -0.9375 + 0.7119140625 = -0.2255859375 0.7119140625 + -1.6875t + t2 = -0.2255859375 Factor a perfect square on the left side: (t + -0.84375)(t + -0.84375) = -0.2255859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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