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Simplifying 3x2 + -11x + 37 = 0 Reorder the terms: 37 + -11x + 3x2 = 0 Solving 37 + -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'. 12.33333333 + -3.666666667x + x2 = 0 Move the constant term to the right: Add '-12.33333333' to each side of the equation. 12.33333333 + -3.666666667x + -12.33333333 + x2 = 0 + -12.33333333 Reorder the terms: 12.33333333 + -12.33333333 + -3.666666667x + x2 = 0 + -12.33333333 Combine like terms: 12.33333333 + -12.33333333 = 0.00000000 0.00000000 + -3.666666667x + x2 = 0 + -12.33333333 -3.666666667x + x2 = 0 + -12.33333333 Combine like terms: 0 + -12.33333333 = -12.33333333 -3.666666667x + x2 = -12.33333333 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 = -12.33333333 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667x + x2 = -12.33333333 + 3.361111114 Combine like terms: -12.33333333 + 3.361111114 = -8.972222216 3.361111114 + -3.666666667x + x2 = -8.972222216 Factor a perfect square on the left side: (x + -1.833333334)(x + -1.833333334) = -8.972222216 Can't calculate square root of the right side. The solution to this equation could not be determined.
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