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Simplifying x(11 + -1x) = 121 (11 * x + -1x * x) = 121 (11x + -1x2) = 121 Solving 11x + -1x2 = 121 Solving for variable 'x'. Reorder the terms: -121 + 11x + -1x2 = 121 + -121 Combine like terms: 121 + -121 = 0 -121 + 11x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 121 + -11x + x2 = 0 Move the constant term to the right: Add '-121' to each side of the equation. 121 + -11x + -121 + x2 = 0 + -121 Reorder the terms: 121 + -121 + -11x + x2 = 0 + -121 Combine like terms: 121 + -121 = 0 0 + -11x + x2 = 0 + -121 -11x + x2 = 0 + -121 Combine like terms: 0 + -121 = -121 -11x + x2 = -121 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -121 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -121 + 30.25 Combine like terms: -121 + 30.25 = -90.75 30.25 + -11x + x2 = -90.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -90.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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