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Simplifying -1x2 + x + -174 = 0 Reorder the terms: -174 + x + -1x2 = 0 Solving -174 + x + -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'. 174 + -1x + x2 = 0 Move the constant term to the right: Add '-174' to each side of the equation. 174 + -1x + -174 + x2 = 0 + -174 Reorder the terms: 174 + -174 + -1x + x2 = 0 + -174 Combine like terms: 174 + -174 = 0 0 + -1x + x2 = 0 + -174 -1x + x2 = 0 + -174 Combine like terms: 0 + -174 = -174 -1x + x2 = -174 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -174 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -174 + 0.25 Combine like terms: -174 + 0.25 = -173.75 0.25 + -1x + x2 = -173.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -173.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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