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Simplifying 2x(x + 11) + 77 = 0 Reorder the terms: 2x(11 + x) + 77 = 0 (11 * 2x + x * 2x) + 77 = 0 (22x + 2x2) + 77 = 0 Reorder the terms: 77 + 22x + 2x2 = 0 Solving 77 + 22x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 38.5 + 11x + x2 = 0 Move the constant term to the right: Add '-38.5' to each side of the equation. 38.5 + 11x + -38.5 + x2 = 0 + -38.5 Reorder the terms: 38.5 + -38.5 + 11x + x2 = 0 + -38.5 Combine like terms: 38.5 + -38.5 = 0.0 0.0 + 11x + x2 = 0 + -38.5 11x + x2 = 0 + -38.5 Combine like terms: 0 + -38.5 = -38.5 11x + x2 = -38.5 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 = -38.5 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -38.5 + 30.25 Combine like terms: -38.5 + 30.25 = -8.25 30.25 + 11x + x2 = -8.25 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -8.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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