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Simplifying 0 = 3x2 + -11x + 28 Reorder the terms: 0 = 28 + -11x + 3x2 Solving 0 = 28 + -11x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -28 = -28 -28 + 11x + -3x2 = 28 + -11x + 3x2 + -28 + 11x + -3x2 Reorder the terms: -28 + 11x + -3x2 = 28 + -28 + -11x + 11x + 3x2 + -3x2 Combine like terms: 28 + -28 = 0 -28 + 11x + -3x2 = 0 + -11x + 11x + 3x2 + -3x2 -28 + 11x + -3x2 = -11x + 11x + 3x2 + -3x2 Combine like terms: -11x + 11x = 0 -28 + 11x + -3x2 = 0 + 3x2 + -3x2 -28 + 11x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -28 + 11x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 9.333333333 + -3.666666667x + x2 = 0 Move the constant term to the right: Add '-9.333333333' to each side of the equation. 9.333333333 + -3.666666667x + -9.333333333 + x2 = 0 + -9.333333333 Reorder the terms: 9.333333333 + -9.333333333 + -3.666666667x + x2 = 0 + -9.333333333 Combine like terms: 9.333333333 + -9.333333333 = 0.000000000 0.000000000 + -3.666666667x + x2 = 0 + -9.333333333 -3.666666667x + x2 = 0 + -9.333333333 Combine like terms: 0 + -9.333333333 = -9.333333333 -3.666666667x + x2 = -9.333333333 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 = -9.333333333 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667x + x2 = -9.333333333 + 3.361111114 Combine like terms: -9.333333333 + 3.361111114 = -5.972222219 3.361111114 + -3.666666667x + x2 = -5.972222219 Factor a perfect square on the left side: (x + -1.833333334)(x + -1.833333334) = -5.972222219 Can't calculate square root of the right side. The solution to this equation could not be determined.
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