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Simplifying 13x2 + -14x = -8 Reorder the terms: -14x + 13x2 = -8 Solving -14x + 13x2 = -8 Solving for variable 'x'. Reorder the terms: 8 + -14x + 13x2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -14x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.6153846154 + -1.076923077x + x2 = 0 Move the constant term to the right: Add '-0.6153846154' to each side of the equation. 0.6153846154 + -1.076923077x + -0.6153846154 + x2 = 0 + -0.6153846154 Reorder the terms: 0.6153846154 + -0.6153846154 + -1.076923077x + x2 = 0 + -0.6153846154 Combine like terms: 0.6153846154 + -0.6153846154 = 0.0000000000 0.0000000000 + -1.076923077x + x2 = 0 + -0.6153846154 -1.076923077x + x2 = 0 + -0.6153846154 Combine like terms: 0 + -0.6153846154 = -0.6153846154 -1.076923077x + x2 = -0.6153846154 The x term is -1.076923077x. Take half its coefficient (-0.5384615385). Square it (0.2899408284) and add it to both sides. Add '0.2899408284' to each side of the equation. -1.076923077x + 0.2899408284 + x2 = -0.6153846154 + 0.2899408284 Reorder the terms: 0.2899408284 + -1.076923077x + x2 = -0.6153846154 + 0.2899408284 Combine like terms: -0.6153846154 + 0.2899408284 = -0.325443787 0.2899408284 + -1.076923077x + x2 = -0.325443787 Factor a perfect square on the left side: (x + -0.5384615385)(x + -0.5384615385) = -0.325443787 Can't calculate square root of the right side. The solution to this equation could not be determined.
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