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Simplifying x(1 + -1x) = 2.356 (1 * x + -1x * x) = 2.356 (1x + -1x2) = 2.356 Solving 1x + -1x2 = 2.356 Solving for variable 'x'. Reorder the terms: -2.356 + 1x + -1x2 = 2.356 + -2.356 Combine like terms: 2.356 + -2.356 = 0.000 -2.356 + 1x + -1x2 = 0.000 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 2.356 + -1x + x2 = 0.000 Move the constant term to the right: Add '-2.356' to each side of the equation. 2.356 + -1x + -2.356 + x2 = 0.000 + -2.356 Reorder the terms: 2.356 + -2.356 + -1x + x2 = 0.000 + -2.356 Combine like terms: 2.356 + -2.356 = 0.000 0.000 + -1x + x2 = 0.000 + -2.356 -1x + x2 = 0.000 + -2.356 Combine like terms: 0.000 + -2.356 = -2.356 -1x + x2 = -2.356 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 = -2.356 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -2.356 + 0.25 Combine like terms: -2.356 + 0.25 = -2.106 0.25 + -1x + x2 = -2.106 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -2.106 Can't calculate square root of the right side. The solution to this equation could not be determined.
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