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Simplifying 16x2 + 8x + 1 = -16 Reorder the terms: 1 + 8x + 16x2 = -16 Solving 1 + 8x + 16x2 = -16 Solving for variable 'x'. Reorder the terms: 1 + 16 + 8x + 16x2 = -16 + 16 Combine like terms: 1 + 16 = 17 17 + 8x + 16x2 = -16 + 16 Combine like terms: -16 + 16 = 0 17 + 8x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.0625 + 0.5x + x2 = 0 Move the constant term to the right: Add '-1.0625' to each side of the equation. 1.0625 + 0.5x + -1.0625 + x2 = 0 + -1.0625 Reorder the terms: 1.0625 + -1.0625 + 0.5x + x2 = 0 + -1.0625 Combine like terms: 1.0625 + -1.0625 = 0.0000 0.0000 + 0.5x + x2 = 0 + -1.0625 0.5x + x2 = 0 + -1.0625 Combine like terms: 0 + -1.0625 = -1.0625 0.5x + x2 = -1.0625 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -1.0625 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -1.0625 + 0.0625 Combine like terms: -1.0625 + 0.0625 = -1 0.0625 + 0.5x + x2 = -1 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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