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Simplifying t2 + 17 = -8t Reorder the terms: 17 + t2 = -8t Solving 17 + t2 = -8t Solving for variable 't'. Reorder the terms: 17 + 8t + t2 = -8t + 8t Combine like terms: -8t + 8t = 0 17 + 8t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 8t + -17 + t2 = 0 + -17 Reorder the terms: 17 + -17 + 8t + t2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8t + t2 = 0 + -17 8t + t2 = 0 + -17 Combine like terms: 0 + -17 = -17 8t + t2 = -17 The t term is 8t. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8t + 16 + t2 = -17 + 16 Reorder the terms: 16 + 8t + t2 = -17 + 16 Combine like terms: -17 + 16 = -1 16 + 8t + t2 = -1 Factor a perfect square on the left side: (t + 4)(t + 4) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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