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Simplifying t2 + 9t + 27 = 0 Reorder the terms: 27 + 9t + t2 = 0 Solving 27 + 9t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + 9t + -27 + t2 = 0 + -27 Reorder the terms: 27 + -27 + 9t + t2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 9t + t2 = 0 + -27 9t + t2 = 0 + -27 Combine like terms: 0 + -27 = -27 9t + t2 = -27 The t term is 9t. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9t + 20.25 + t2 = -27 + 20.25 Reorder the terms: 20.25 + 9t + t2 = -27 + 20.25 Combine like terms: -27 + 20.25 = -6.75 20.25 + 9t + t2 = -6.75 Factor a perfect square on the left side: (t + 4.5)(t + 4.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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