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Simplifying 2t2 + 3t + 11 = 0 Reorder the terms: 11 + 3t + 2t2 = 0 Solving 11 + 3t + 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'. 5.5 + 1.5t + t2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + 1.5t + -5.5 + t2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + 1.5t + t2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 1.5t + t2 = 0 + -5.5 1.5t + t2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 1.5t + t2 = -5.5 The t term is 1.5t. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5t + 0.5625 + t2 = -5.5 + 0.5625 Reorder the terms: 0.5625 + 1.5t + t2 = -5.5 + 0.5625 Combine like terms: -5.5 + 0.5625 = -4.9375 0.5625 + 1.5t + t2 = -4.9375 Factor a perfect square on the left side: (t + 0.75)(t + 0.75) = -4.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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