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Simplifying x(1 + -1x) = 120 (1 * x + -1x * x) = 120 (1x + -1x2) = 120 Solving 1x + -1x2 = 120 Solving for variable 'x'. Reorder the terms: -120 + 1x + -1x2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + 1x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 120 + -1x + x2 = 0 Move the constant term to the right: Add '-120' to each side of the equation. 120 + -1x + -120 + x2 = 0 + -120 Reorder the terms: 120 + -120 + -1x + x2 = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -1x + x2 = 0 + -120 -1x + x2 = 0 + -120 Combine like terms: 0 + -120 = -120 -1x + x2 = -120 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 = -120 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -120 + 0.25 Combine like terms: -120 + 0.25 = -119.75 0.25 + -1x + x2 = -119.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -119.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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