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Simplifying 3x2 + -11x + 21 = 0 Reorder the terms: 21 + -11x + 3x2 = 0 Solving 21 + -11x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 7 + -3.666666667x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -3.666666667x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -3.666666667x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3.666666667x + x2 = 0 + -7 -3.666666667x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3.666666667x + x2 = -7 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 = -7 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667x + x2 = -7 + 3.361111114 Combine like terms: -7 + 3.361111114 = -3.638888886 3.361111114 + -3.666666667x + x2 = -3.638888886 Factor a perfect square on the left side: (x + -1.833333334)(x + -1.833333334) = -3.638888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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