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Simplifying 2x2 + 11x + 40 = 0 Reorder the terms: 40 + 11x + 2x2 = 0 Solving 40 + 11x + 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'. 20 + 5.5x + x2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + 5.5x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + 5.5x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5.5x + x2 = 0 + -20 5.5x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 5.5x + x2 = -20 The x term is 5.5x. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x + 7.5625 + x2 = -20 + 7.5625 Reorder the terms: 7.5625 + 5.5x + x2 = -20 + 7.5625 Combine like terms: -20 + 7.5625 = -12.4375 7.5625 + 5.5x + x2 = -12.4375 Factor a perfect square on the left side: (x + 2.75)(x + 2.75) = -12.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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