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Simplifying 2x2 + 23x + 67 = 0 Reorder the terms: 67 + 23x + 2x2 = 0 Solving 67 + 23x + 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'. 33.5 + 11.5x + x2 = 0 Move the constant term to the right: Add '-33.5' to each side of the equation. 33.5 + 11.5x + -33.5 + x2 = 0 + -33.5 Reorder the terms: 33.5 + -33.5 + 11.5x + x2 = 0 + -33.5 Combine like terms: 33.5 + -33.5 = 0.0 0.0 + 11.5x + x2 = 0 + -33.5 11.5x + x2 = 0 + -33.5 Combine like terms: 0 + -33.5 = -33.5 11.5x + x2 = -33.5 The x term is 11.5x. Take half its coefficient (5.75). Square it (33.0625) and add it to both sides. Add '33.0625' to each side of the equation. 11.5x + 33.0625 + x2 = -33.5 + 33.0625 Reorder the terms: 33.0625 + 11.5x + x2 = -33.5 + 33.0625 Combine like terms: -33.5 + 33.0625 = -0.4375 33.0625 + 11.5x + x2 = -0.4375 Factor a perfect square on the left side: (x + 5.75)(x + 5.75) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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