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Simplifying 16t2 + 24t + 25 = 0 Reorder the terms: 25 + 24t + 16t2 = 0 Solving 25 + 24t + 16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.5625 + 1.5t + t2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + 1.5t + -1.5625 + t2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + 1.5t + t2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + 1.5t + t2 = 0 + -1.5625 1.5t + t2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 1.5t + t2 = -1.5625 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 = -1.5625 + 0.5625 Reorder the terms: 0.5625 + 1.5t + t2 = -1.5625 + 0.5625 Combine like terms: -1.5625 + 0.5625 = -1 0.5625 + 1.5t + t2 = -1 Factor a perfect square on the left side: (t + 0.75)(t + 0.75) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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