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Simplifying 2x2 + 11x + 27 = 1 Reorder the terms: 27 + 11x + 2x2 = 1 Solving 27 + 11x + 2x2 = 1 Solving for variable 'x'. Reorder the terms: 27 + -1 + 11x + 2x2 = 1 + -1 Combine like terms: 27 + -1 = 26 26 + 11x + 2x2 = 1 + -1 Combine like terms: 1 + -1 = 0 26 + 11x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 13 + 5.5x + x2 = 0 Move the constant term to the right: Add '-13' to each side of the equation. 13 + 5.5x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + 5.5x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5.5x + x2 = 0 + -13 5.5x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 5.5x + x2 = -13 The x term is 5.5x. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x + 7.5625 + x2 = -13 + 7.5625 Reorder the terms: 7.5625 + 5.5x + x2 = -13 + 7.5625 Combine like terms: -13 + 7.5625 = -5.4375 7.5625 + 5.5x + x2 = -5.4375 Factor a perfect square on the left side: (x + 2.75)(x + 2.75) = -5.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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