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Simplifying 2t2 + 15t + 1650 = 0 Reorder the terms: 1650 + 15t + 2t2 = 0 Solving 1650 + 15t + 2t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 825 + 7.5t + t2 = 0 Move the constant term to the right: Add '-825' to each side of the equation. 825 + 7.5t + -825 + t2 = 0 + -825 Reorder the terms: 825 + -825 + 7.5t + t2 = 0 + -825 Combine like terms: 825 + -825 = 0 0 + 7.5t + t2 = 0 + -825 7.5t + t2 = 0 + -825 Combine like terms: 0 + -825 = -825 7.5t + t2 = -825 The t term is 7.5t. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5t + 14.0625 + t2 = -825 + 14.0625 Reorder the terms: 14.0625 + 7.5t + t2 = -825 + 14.0625 Combine like terms: -825 + 14.0625 = -810.9375 14.0625 + 7.5t + t2 = -810.9375 Factor a perfect square on the left side: (t + 3.75)(t + 3.75) = -810.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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