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Simplifying 16x2 + x + 1132 = 0 Reorder the terms: 1132 + x + 16x2 = 0 Solving 1132 + 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'. 70.75 + 0.0625x + x2 = 0 Move the constant term to the right: Add '-70.75' to each side of the equation. 70.75 + 0.0625x + -70.75 + x2 = 0 + -70.75 Reorder the terms: 70.75 + -70.75 + 0.0625x + x2 = 0 + -70.75 Combine like terms: 70.75 + -70.75 = 0.00 0.00 + 0.0625x + x2 = 0 + -70.75 0.0625x + x2 = 0 + -70.75 Combine like terms: 0 + -70.75 = -70.75 0.0625x + x2 = -70.75 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 = -70.75 + 0.25 Reorder the terms: 0.25 + 0.0625x + x2 = -70.75 + 0.25 Combine like terms: -70.75 + 0.25 = -70.5 0.25 + 0.0625x + x2 = -70.5 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -70.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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