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Simplifying 16x2 + -16x + 41 = 0 Reorder the terms: 41 + -16x + 16x2 = 0 Solving 41 + -16x + 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'. 2.5625 + -1x + x2 = 0 Move the constant term to the right: Add '-2.5625' to each side of the equation. 2.5625 + -1x + -2.5625 + x2 = 0 + -2.5625 Reorder the terms: 2.5625 + -2.5625 + -1x + x2 = 0 + -2.5625 Combine like terms: 2.5625 + -2.5625 = 0.0000 0.0000 + -1x + x2 = 0 + -2.5625 -1x + x2 = 0 + -2.5625 Combine like terms: 0 + -2.5625 = -2.5625 -1x + x2 = -2.5625 The x term is -1x. 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. -1x + 0.25 + x2 = -2.5625 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -2.5625 + 0.25 Combine like terms: -2.5625 + 0.25 = -2.3125 0.25 + -1x + x2 = -2.3125 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -2.3125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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