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Simplifying x2 + -2x + 31 = 0 Reorder the terms: 31 + -2x + x2 = 0 Solving 31 + -2x + 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 + -2x + -31 + x2 = 0 + -31 Reorder the terms: 31 + -31 + -2x + x2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -2x + x2 = 0 + -31 -2x + x2 = 0 + -31 Combine like terms: 0 + -31 = -31 -2x + x2 = -31 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -31 + 1 Reorder the terms: 1 + -2x + x2 = -31 + 1 Combine like terms: -31 + 1 = -30 1 + -2x + x2 = -30 Factor a perfect square on the left side: (x + -1)(x + -1) = -30 Can't calculate square root of the right side. The solution to this equation could not be determined.
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