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Simplifying 2x2 + 22x + 121 = 0 Reorder the terms: 121 + 22x + 2x2 = 0 Solving 121 + 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'. 60.5 + 11x + x2 = 0 Move the constant term to the right: Add '-60.5' to each side of the equation. 60.5 + 11x + -60.5 + x2 = 0 + -60.5 Reorder the terms: 60.5 + -60.5 + 11x + x2 = 0 + -60.5 Combine like terms: 60.5 + -60.5 = 0.0 0.0 + 11x + x2 = 0 + -60.5 11x + x2 = 0 + -60.5 Combine like terms: 0 + -60.5 = -60.5 11x + x2 = -60.5 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 = -60.5 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -60.5 + 30.25 Combine like terms: -60.5 + 30.25 = -30.25 30.25 + 11x + x2 = -30.25 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -30.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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