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Simplifying 13x2 + 24x + 116 = 0 Reorder the terms: 116 + 24x + 13x2 = 0 Solving 116 + 24x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 8.923076923 + 1.846153846x + x2 = 0 Move the constant term to the right: Add '-8.923076923' to each side of the equation. 8.923076923 + 1.846153846x + -8.923076923 + x2 = 0 + -8.923076923 Reorder the terms: 8.923076923 + -8.923076923 + 1.846153846x + x2 = 0 + -8.923076923 Combine like terms: 8.923076923 + -8.923076923 = 0.000000000 0.000000000 + 1.846153846x + x2 = 0 + -8.923076923 1.846153846x + x2 = 0 + -8.923076923 Combine like terms: 0 + -8.923076923 = -8.923076923 1.846153846x + x2 = -8.923076923 The x term is 1.846153846x. Take half its coefficient (0.923076923). Square it (0.8520710058) and add it to both sides. Add '0.8520710058' to each side of the equation. 1.846153846x + 0.8520710058 + x2 = -8.923076923 + 0.8520710058 Reorder the terms: 0.8520710058 + 1.846153846x + x2 = -8.923076923 + 0.8520710058 Combine like terms: -8.923076923 + 0.8520710058 = -8.0710059172 0.8520710058 + 1.846153846x + x2 = -8.0710059172 Factor a perfect square on the left side: (x + 0.923076923)(x + 0.923076923) = -8.0710059172 Can't calculate square root of the right side. The solution to this equation could not be determined.
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