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Simplifying x + -1x2 = 6 Solving x + -1x2 = 6 Solving for variable 'x'. Reorder the terms: -6 + x + -1x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 6 + -1x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -1x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -1x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x + x2 = 0 + -6 -1x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x + x2 = -6 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 = -6 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + -1x + x2 = -5.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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