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Simplifying 2x2 + x + 55 = 0 Reorder the terms: 55 + x + 2x2 = 0 Solving 55 + x + 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'. 27.5 + 0.5x + x2 = 0 Move the constant term to the right: Add '-27.5' to each side of the equation. 27.5 + 0.5x + -27.5 + x2 = 0 + -27.5 Reorder the terms: 27.5 + -27.5 + 0.5x + x2 = 0 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + 0.5x + x2 = 0 + -27.5 0.5x + x2 = 0 + -27.5 Combine like terms: 0 + -27.5 = -27.5 0.5x + x2 = -27.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5x + 0.25 + x2 = -27.5 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = -27.5 + 0.25 Combine like terms: -27.5 + 0.25 = -27.25 0.25 + 0.5x + x2 = -27.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -27.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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