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Simplifying 2t2 + 11t + 137 = 0 Reorder the terms: 137 + 11t + 2t2 = 0 Solving 137 + 11t + 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'. 68.5 + 5.5t + t2 = 0 Move the constant term to the right: Add '-68.5' to each side of the equation. 68.5 + 5.5t + -68.5 + t2 = 0 + -68.5 Reorder the terms: 68.5 + -68.5 + 5.5t + t2 = 0 + -68.5 Combine like terms: 68.5 + -68.5 = 0.0 0.0 + 5.5t + t2 = 0 + -68.5 5.5t + t2 = 0 + -68.5 Combine like terms: 0 + -68.5 = -68.5 5.5t + t2 = -68.5 The t term is 5.5t. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5t + 7.5625 + t2 = -68.5 + 7.5625 Reorder the terms: 7.5625 + 5.5t + t2 = -68.5 + 7.5625 Combine like terms: -68.5 + 7.5625 = -60.9375 7.5625 + 5.5t + t2 = -60.9375 Factor a perfect square on the left side: (t + 2.75)(t + 2.75) = -60.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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