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Simplifying 0 = x2 + -31x + 242 Reorder the terms: 0 = 242 + -31x + x2 Solving 0 = 242 + -31x + x2 Solving for variable 'x'. Combine like terms: 0 + -242 = -242 -242 + 31x + -1x2 = 242 + -31x + x2 + -242 + 31x + -1x2 Reorder the terms: -242 + 31x + -1x2 = 242 + -242 + -31x + 31x + x2 + -1x2 Combine like terms: 242 + -242 = 0 -242 + 31x + -1x2 = 0 + -31x + 31x + x2 + -1x2 -242 + 31x + -1x2 = -31x + 31x + x2 + -1x2 Combine like terms: -31x + 31x = 0 -242 + 31x + -1x2 = 0 + x2 + -1x2 -242 + 31x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -242 + 31x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 242 + -31x + x2 = 0 Move the constant term to the right: Add '-242' to each side of the equation. 242 + -31x + -242 + x2 = 0 + -242 Reorder the terms: 242 + -242 + -31x + x2 = 0 + -242 Combine like terms: 242 + -242 = 0 0 + -31x + x2 = 0 + -242 -31x + x2 = 0 + -242 Combine like terms: 0 + -242 = -242 -31x + x2 = -242 The x term is -31x. Take half its coefficient (-15.5). Square it (240.25) and add it to both sides. Add '240.25' to each side of the equation. -31x + 240.25 + x2 = -242 + 240.25 Reorder the terms: 240.25 + -31x + x2 = -242 + 240.25 Combine like terms: -242 + 240.25 = -1.75 240.25 + -31x + x2 = -1.75 Factor a perfect square on the left side: (x + -15.5)(x + -15.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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