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Simplifying 9x2 + -24x + 41 = 0 Reorder the terms: 41 + -24x + 9x2 = 0 Solving 41 + -24x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4.555555556 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '-4.555555556' to each side of the equation. 4.555555556 + -2.666666667x + -4.555555556 + x2 = 0 + -4.555555556 Reorder the terms: 4.555555556 + -4.555555556 + -2.666666667x + x2 = 0 + -4.555555556 Combine like terms: 4.555555556 + -4.555555556 = 0.000000000 0.000000000 + -2.666666667x + x2 = 0 + -4.555555556 -2.666666667x + x2 = 0 + -4.555555556 Combine like terms: 0 + -4.555555556 = -4.555555556 -2.666666667x + x2 = -4.555555556 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = -4.555555556 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = -4.555555556 + 1.777777780 Combine like terms: -4.555555556 + 1.777777780 = -2.777777776 1.777777780 + -2.666666667x + x2 = -2.777777776 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = -2.777777776 Can't calculate square root of the right side. The solution to this equation could not be determined.
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