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Simplifying 16x2 + -80x + 113 = 0 Reorder the terms: 113 + -80x + 16x2 = 0 Solving 113 + -80x + 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'. 7.0625 + -5x + x2 = 0 Move the constant term to the right: Add '-7.0625' to each side of the equation. 7.0625 + -5x + -7.0625 + x2 = 0 + -7.0625 Reorder the terms: 7.0625 + -7.0625 + -5x + x2 = 0 + -7.0625 Combine like terms: 7.0625 + -7.0625 = 0.0000 0.0000 + -5x + x2 = 0 + -7.0625 -5x + x2 = 0 + -7.0625 Combine like terms: 0 + -7.0625 = -7.0625 -5x + x2 = -7.0625 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -7.0625 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -7.0625 + 6.25 Combine like terms: -7.0625 + 6.25 = -0.8125 6.25 + -5x + x2 = -0.8125 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -0.8125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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