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Simplifying 8x2 + 4x + 16 = 5 Reorder the terms: 16 + 4x + 8x2 = 5 Solving 16 + 4x + 8x2 = 5 Solving for variable 'x'. Reorder the terms: 16 + -5 + 4x + 8x2 = 5 + -5 Combine like terms: 16 + -5 = 11 11 + 4x + 8x2 = 5 + -5 Combine like terms: 5 + -5 = 0 11 + 4x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.375 + 0.5x + x2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + 0.5x + -1.375 + x2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + 0.5x + x2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + 0.5x + x2 = 0 + -1.375 0.5x + x2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 0.5x + x2 = -1.375 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 = -1.375 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -1.375 + 0.0625 Combine like terms: -1.375 + 0.0625 = -1.3125 0.0625 + 0.5x + x2 = -1.3125 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -1.3125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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