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Simplifying 2t2 + 3t + 17 = 9 Reorder the terms: 17 + 3t + 2t2 = 9 Solving 17 + 3t + 2t2 = 9 Solving for variable 't'. Reorder the terms: 17 + -9 + 3t + 2t2 = 9 + -9 Combine like terms: 17 + -9 = 8 8 + 3t + 2t2 = 9 + -9 Combine like terms: 9 + -9 = 0 8 + 3t + 2t2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + 1.5t + t2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 1.5t + -4 + t2 = 0 + -4 Reorder the terms: 4 + -4 + 1.5t + t2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1.5t + t2 = 0 + -4 1.5t + t2 = 0 + -4 Combine like terms: 0 + -4 = -4 1.5t + t2 = -4 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 = -4 + 0.5625 Reorder the terms: 0.5625 + 1.5t + t2 = -4 + 0.5625 Combine like terms: -4 + 0.5625 = -3.4375 0.5625 + 1.5t + t2 = -3.4375 Factor a perfect square on the left side: (t + 0.75)(t + 0.75) = -3.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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