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Simplifying 16x2 + x + 385 = 0 Reorder the terms: 385 + x + 16x2 = 0 Solving 385 + x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 24.0625 + 0.0625x + x2 = 0 Move the constant term to the right: Add '-24.0625' to each side of the equation. 24.0625 + 0.0625x + -24.0625 + x2 = 0 + -24.0625 Reorder the terms: 24.0625 + -24.0625 + 0.0625x + x2 = 0 + -24.0625 Combine like terms: 24.0625 + -24.0625 = 0.0000 0.0000 + 0.0625x + x2 = 0 + -24.0625 0.0625x + x2 = 0 + -24.0625 Combine like terms: 0 + -24.0625 = -24.0625 0.0625x + x2 = -24.0625 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. 0.0625x + 0.25 + x2 = -24.0625 + 0.25 Reorder the terms: 0.25 + 0.0625x + x2 = -24.0625 + 0.25 Combine like terms: -24.0625 + 0.25 = -23.8125 0.25 + 0.0625x + x2 = -23.8125 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -23.8125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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