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Simplifying (13x + 2)(x + -2) = -29 Reorder the terms: (2 + 13x)(x + -2) = -29 Reorder the terms: (2 + 13x)(-2 + x) = -29 Multiply (2 + 13x) * (-2 + x) (2(-2 + x) + 13x * (-2 + x)) = -29 ((-2 * 2 + x * 2) + 13x * (-2 + x)) = -29 ((-4 + 2x) + 13x * (-2 + x)) = -29 (-4 + 2x + (-2 * 13x + x * 13x)) = -29 (-4 + 2x + (-26x + 13x2)) = -29 Combine like terms: 2x + -26x = -24x (-4 + -24x + 13x2) = -29 Solving -4 + -24x + 13x2 = -29 Solving for variable 'x'. Reorder the terms: -4 + 29 + -24x + 13x2 = -29 + 29 Combine like terms: -4 + 29 = 25 25 + -24x + 13x2 = -29 + 29 Combine like terms: -29 + 29 = 0 25 + -24x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1.923076923 + -1.846153846x + x2 = 0 Move the constant term to the right: Add '-1.923076923' to each side of the equation. 1.923076923 + -1.846153846x + -1.923076923 + x2 = 0 + -1.923076923 Reorder the terms: 1.923076923 + -1.923076923 + -1.846153846x + x2 = 0 + -1.923076923 Combine like terms: 1.923076923 + -1.923076923 = 0.000000000 0.000000000 + -1.846153846x + x2 = 0 + -1.923076923 -1.846153846x + x2 = 0 + -1.923076923 Combine like terms: 0 + -1.923076923 = -1.923076923 -1.846153846x + x2 = -1.923076923 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 = -1.923076923 + 0.8520710058 Reorder the terms: 0.8520710058 + -1.846153846x + x2 = -1.923076923 + 0.8520710058 Combine like terms: -1.923076923 + 0.8520710058 = -1.0710059172 0.8520710058 + -1.846153846x + x2 = -1.0710059172 Factor a perfect square on the left side: (x + -0.923076923)(x + -0.923076923) = -1.0710059172 Can't calculate square root of the right side. The solution to this equation could not be determined.
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