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Simplifying 13x2 + 24x + -1 = -14 Reorder the terms: -1 + 24x + 13x2 = -14 Solving -1 + 24x + 13x2 = -14 Solving for variable 'x'. Reorder the terms: -1 + 14 + 24x + 13x2 = -14 + 14 Combine like terms: -1 + 14 = 13 13 + 24x + 13x2 = -14 + 14 Combine like terms: -14 + 14 = 0 13 + 24x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1 + 1.846153846x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.846153846x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 1.846153846x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.846153846x + x2 = 0 + -1 1.846153846x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.846153846x + x2 = -1 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 = -1 + 0.8520710058 Reorder the terms: 0.8520710058 + 1.846153846x + x2 = -1 + 0.8520710058 Combine like terms: -1 + 0.8520710058 = -0.1479289942 0.8520710058 + 1.846153846x + x2 = -0.1479289942 Factor a perfect square on the left side: (x + 0.923076923)(x + 0.923076923) = -0.1479289942 Can't calculate square root of the right side. The solution to this equation could not be determined.
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