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Simplifying 0 = 4t + (-4.9t2) + -1.1 Reorder the terms: 0 = -1.1 + 4t + (-4.9t2) Solving 0 = -1.1 + 4t + (-4.9t2) Solving for variable 't'. Combine like terms: 0 + 1.1 = 1.1 1.1 + -4t + (4.9t2) = -1.1 + 4t + (-4.9t2) + 1.1 + -4t + (4.9t2) Reorder the terms: 1.1 + -4t + (4.9t2) = -1.1 + 1.1 + 4t + -4t + (-4.9t2) + (4.9t2) Combine like terms: -1.1 + 1.1 = 0.0 1.1 + -4t + (4.9t2) = 0.0 + 4t + -4t + (-4.9t2) + (4.9t2) 1.1 + -4t + (4.9t2) = 4t + -4t + (-4.9t2) + (4.9t2) Combine like terms: 4t + -4t = 0 1.1 + -4t + (4.9t2) = 0 + (-4.9t2) + (4.9t2) 1.1 + -4t + (4.9t2) = (-4.9t2) + (4.9t2) Combine like terms: (-4.9t2) + (4.9t2) = 0.0 1.1 + -4t + (4.9t2) = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 0.2244897959 + -0.8163265306t + t2 = 0 Move the constant term to the right: Add '-0.2244897959' to each side of the equation. 0.2244897959 + -0.8163265306t + -0.2244897959 + t2 = 0 + -0.2244897959 Reorder the terms: 0.2244897959 + -0.2244897959 + -0.8163265306t + t2 = 0 + -0.2244897959 Combine like terms: 0.2244897959 + -0.2244897959 = 0.0000000000 0.0000000000 + -0.8163265306t + t2 = 0 + -0.2244897959 -0.8163265306t + t2 = 0 + -0.2244897959 Combine like terms: 0 + -0.2244897959 = -0.2244897959 -0.8163265306t + t2 = -0.2244897959 The t term is -0.8163265306t. Take half its coefficient (-0.4081632653). Square it (0.1665972511) and add it to both sides. Add '0.1665972511' to each side of the equation. -0.8163265306t + 0.1665972511 + t2 = -0.2244897959 + 0.1665972511 Reorder the terms: 0.1665972511 + -0.8163265306t + t2 = -0.2244897959 + 0.1665972511 Combine like terms: -0.2244897959 + 0.1665972511 = -0.0578925448 0.1665972511 + -0.8163265306t + t2 = -0.0578925448 Factor a perfect square on the left side: ((t) + -0.4081632653)((t) + -0.4081632653) = -0.0578925448 Can't calculate square root of the right side. The solution to this equation could not be determined.
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