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Simplifying x2 + 18x + 81 = -11 Reorder the terms: 81 + 18x + x2 = -11 Solving 81 + 18x + x2 = -11 Solving for variable 'x'. Reorder the terms: 81 + 11 + 18x + x2 = -11 + 11 Combine like terms: 81 + 11 = 92 92 + 18x + x2 = -11 + 11 Combine like terms: -11 + 11 = 0 92 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-92' to each side of the equation. 92 + 18x + -92 + x2 = 0 + -92 Reorder the terms: 92 + -92 + 18x + x2 = 0 + -92 Combine like terms: 92 + -92 = 0 0 + 18x + x2 = 0 + -92 18x + x2 = 0 + -92 Combine like terms: 0 + -92 = -92 18x + x2 = -92 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 = -92 + 81 Reorder the terms: 81 + 18x + x2 = -92 + 81 Combine like terms: -92 + 81 = -11 81 + 18x + x2 = -11 Factor a perfect square on the left side: (x + 9)(x + 9) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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