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Simplifying x2 + 11x + 102 = 0 Reorder the terms: 102 + 11x + x2 = 0 Solving 102 + 11x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-102' to each side of the equation. 102 + 11x + -102 + x2 = 0 + -102 Reorder the terms: 102 + -102 + 11x + x2 = 0 + -102 Combine like terms: 102 + -102 = 0 0 + 11x + x2 = 0 + -102 11x + x2 = 0 + -102 Combine like terms: 0 + -102 = -102 11x + x2 = -102 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = -102 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -102 + 30.25 Combine like terms: -102 + 30.25 = -71.75 30.25 + 11x + x2 = -71.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -71.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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