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Simplifying -1x(x + -1) = 182 Reorder the terms: -1x(-1 + x) = 182 (-1 * -1x + x * -1x) = 182 (1x + -1x2) = 182 Solving 1x + -1x2 = 182 Solving for variable 'x'. Reorder the terms: -182 + 1x + -1x2 = 182 + -182 Combine like terms: 182 + -182 = 0 -182 + 1x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 182 + -1x + x2 = 0 Move the constant term to the right: Add '-182' to each side of the equation. 182 + -1x + -182 + x2 = 0 + -182 Reorder the terms: 182 + -182 + -1x + x2 = 0 + -182 Combine like terms: 182 + -182 = 0 0 + -1x + x2 = 0 + -182 -1x + x2 = 0 + -182 Combine like terms: 0 + -182 = -182 -1x + x2 = -182 The x term is -1x. 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 = -182 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -182 + 0.25 Combine like terms: -182 + 0.25 = -181.75 0.25 + -1x + x2 = -181.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -181.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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