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Simplifying 2x2 + -31x + 128 = 0 Reorder the terms: 128 + -31x + 2x2 = 0 Solving 128 + -31x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 64 + -15.5x + x2 = 0 Move the constant term to the right: Add '-64' to each side of the equation. 64 + -15.5x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + -15.5x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -15.5x + x2 = 0 + -64 -15.5x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 -15.5x + x2 = -64 The x term is -15.5x. Take half its coefficient (-7.75). Square it (60.0625) and add it to both sides. Add '60.0625' to each side of the equation. -15.5x + 60.0625 + x2 = -64 + 60.0625 Reorder the terms: 60.0625 + -15.5x + x2 = -64 + 60.0625 Combine like terms: -64 + 60.0625 = -3.9375 60.0625 + -15.5x + x2 = -3.9375 Factor a perfect square on the left side: (x + -7.75)(x + -7.75) = -3.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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