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Simplifying x2 + -5x + 31 = 0 Reorder the terms: 31 + -5x + x2 = 0 Solving 31 + -5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + -5x + -31 + x2 = 0 + -31 Reorder the terms: 31 + -31 + -5x + x2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -5x + x2 = 0 + -31 -5x + x2 = 0 + -31 Combine like terms: 0 + -31 = -31 -5x + x2 = -31 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 = -31 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -31 + 6.25 Combine like terms: -31 + 6.25 = -24.75 6.25 + -5x + x2 = -24.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -24.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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