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Simplifying x2 + 18x + 81 = -45 + 18 Reorder the terms: 81 + 18x + x2 = -45 + 18 Combine like terms: -45 + 18 = -27 81 + 18x + x2 = -27 Solving 81 + 18x + x2 = -27 Solving for variable 'x'. Reorder the terms: 81 + 27 + 18x + x2 = -27 + 27 Combine like terms: 81 + 27 = 108 108 + 18x + x2 = -27 + 27 Combine like terms: -27 + 27 = 0 108 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-108' to each side of the equation. 108 + 18x + -108 + x2 = 0 + -108 Reorder the terms: 108 + -108 + 18x + x2 = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 18x + x2 = 0 + -108 18x + x2 = 0 + -108 Combine like terms: 0 + -108 = -108 18x + x2 = -108 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -108 + 81 Reorder the terms: 81 + 18x + x2 = -108 + 81 Combine like terms: -108 + 81 = -27 81 + 18x + x2 = -27 Factor a perfect square on the left side: (x + 9)(x + 9) = -27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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