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Simplifying x(11 + -3x) = 42 (11 * x + -3x * x) = 42 (11x + -3x2) = 42 Solving 11x + -3x2 = 42 Solving for variable 'x'. Reorder the terms: -42 + 11x + -3x2 = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + 11x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 14 + -3.666666667x + x2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -3.666666667x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -3.666666667x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3.666666667x + x2 = 0 + -14 -3.666666667x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -3.666666667x + x2 = -14 The x term is -3.666666667x. Take half its coefficient (-1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. -3.666666667x + 3.361111114 + x2 = -14 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667x + x2 = -14 + 3.361111114 Combine like terms: -14 + 3.361111114 = -10.638888886 3.361111114 + -3.666666667x + x2 = -10.638888886 Factor a perfect square on the left side: (x + -1.833333334)(x + -1.833333334) = -10.638888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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