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Simplifying 16x2 + 46x + 81 = 0 Reorder the terms: 81 + 46x + 16x2 = 0 Solving 81 + 46x + 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'. 5.0625 + 2.875x + x2 = 0 Move the constant term to the right: Add '-5.0625' to each side of the equation. 5.0625 + 2.875x + -5.0625 + x2 = 0 + -5.0625 Reorder the terms: 5.0625 + -5.0625 + 2.875x + x2 = 0 + -5.0625 Combine like terms: 5.0625 + -5.0625 = 0.0000 0.0000 + 2.875x + x2 = 0 + -5.0625 2.875x + x2 = 0 + -5.0625 Combine like terms: 0 + -5.0625 = -5.0625 2.875x + x2 = -5.0625 The x term is 2.875x. Take half its coefficient (1.4375). Square it (2.06640625) and add it to both sides. Add '2.06640625' to each side of the equation. 2.875x + 2.06640625 + x2 = -5.0625 + 2.06640625 Reorder the terms: 2.06640625 + 2.875x + x2 = -5.0625 + 2.06640625 Combine like terms: -5.0625 + 2.06640625 = -2.99609375 2.06640625 + 2.875x + x2 = -2.99609375 Factor a perfect square on the left side: (x + 1.4375)(x + 1.4375) = -2.99609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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