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Simplifying -1x2 + 6x + 27 + -58 = 0 Reorder the terms: 27 + -58 + 6x + -1x2 = 0 Combine like terms: 27 + -58 = -31 -31 + 6x + -1x2 = 0 Solving -31 + 6x + -1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 31 + -6x + x2 = 0 Move the constant term to the right: Add '-31' to each side of the equation. 31 + -6x + -31 + x2 = 0 + -31 Reorder the terms: 31 + -31 + -6x + x2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -6x + x2 = 0 + -31 -6x + x2 = 0 + -31 Combine like terms: 0 + -31 = -31 -6x + x2 = -31 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -31 + 9 Reorder the terms: 9 + -6x + x2 = -31 + 9 Combine like terms: -31 + 9 = -22 9 + -6x + x2 = -22 Factor a perfect square on the left side: (x + -3)(x + -3) = -22 Can't calculate square root of the right side. The solution to this equation could not be determined.
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