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Simplifying t2 + 18t + 214 = 0 Reorder the terms: 214 + 18t + t2 = 0 Solving 214 + 18t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-214' to each side of the equation. 214 + 18t + -214 + t2 = 0 + -214 Reorder the terms: 214 + -214 + 18t + t2 = 0 + -214 Combine like terms: 214 + -214 = 0 0 + 18t + t2 = 0 + -214 18t + t2 = 0 + -214 Combine like terms: 0 + -214 = -214 18t + t2 = -214 The t term is 18t. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18t + 81 + t2 = -214 + 81 Reorder the terms: 81 + 18t + t2 = -214 + 81 Combine like terms: -214 + 81 = -133 81 + 18t + t2 = -133 Factor a perfect square on the left side: (t + 9)(t + 9) = -133 Can't calculate square root of the right side. The solution to this equation could not be determined.
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