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Simplifying t2 + 6t + 55 = 0 Reorder the terms: 55 + 6t + t2 = 0 Solving 55 + 6t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-55' to each side of the equation. 55 + 6t + -55 + t2 = 0 + -55 Reorder the terms: 55 + -55 + 6t + t2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 6t + t2 = 0 + -55 6t + t2 = 0 + -55 Combine like terms: 0 + -55 = -55 6t + t2 = -55 The t term is 6t. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6t + 9 + t2 = -55 + 9 Reorder the terms: 9 + 6t + t2 = -55 + 9 Combine like terms: -55 + 9 = -46 9 + 6t + t2 = -46 Factor a perfect square on the left side: (t + 3)(t + 3) = -46 Can't calculate square root of the right side. The solution to this equation could not be determined.
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