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Simplifying X + -1X2 = 182 Solving X + -1X2 = 182 Solving for variable 'X'. Reorder the terms: -182 + X + -1X2 = 182 + -182 Combine like terms: 182 + -182 = 0 -182 + X + -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 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 = -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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