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Simplifying 31x2 + 48x + 432 = 0 Reorder the terms: 432 + 48x + 31x2 = 0 Solving 432 + 48x + 31x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 31 the coefficient of the squared term: Divide each side by '31'. 13.93548387 + 1.548387097x + x2 = 0 Move the constant term to the right: Add '-13.93548387' to each side of the equation. 13.93548387 + 1.548387097x + -13.93548387 + x2 = 0 + -13.93548387 Reorder the terms: 13.93548387 + -13.93548387 + 1.548387097x + x2 = 0 + -13.93548387 Combine like terms: 13.93548387 + -13.93548387 = 0.00000000 0.00000000 + 1.548387097x + x2 = 0 + -13.93548387 1.548387097x + x2 = 0 + -13.93548387 Combine like terms: 0 + -13.93548387 = -13.93548387 1.548387097x + x2 = -13.93548387 The x term is 1.548387097x. Take half its coefficient (0.7741935485). Square it (0.5993756505) and add it to both sides. Add '0.5993756505' to each side of the equation. 1.548387097x + 0.5993756505 + x2 = -13.93548387 + 0.5993756505 Reorder the terms: 0.5993756505 + 1.548387097x + x2 = -13.93548387 + 0.5993756505 Combine like terms: -13.93548387 + 0.5993756505 = -13.3361082195 0.5993756505 + 1.548387097x + x2 = -13.3361082195 Factor a perfect square on the left side: (x + 0.7741935485)(x + 0.7741935485) = -13.3361082195 Can't calculate square root of the right side. The solution to this equation could not be determined.
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