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Simplifying 49a2 + 14a + 4 = 0 Reorder the terms: 4 + 14a + 49a2 = 0 Solving 4 + 14a + 49a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.08163265306 + 0.2857142857a + a2 = 0 Move the constant term to the right: Add '-0.08163265306' to each side of the equation. 0.08163265306 + 0.2857142857a + -0.08163265306 + a2 = 0 + -0.08163265306 Reorder the terms: 0.08163265306 + -0.08163265306 + 0.2857142857a + a2 = 0 + -0.08163265306 Combine like terms: 0.08163265306 + -0.08163265306 = 0.00000000000 0.00000000000 + 0.2857142857a + a2 = 0 + -0.08163265306 0.2857142857a + a2 = 0 + -0.08163265306 Combine like terms: 0 + -0.08163265306 = -0.08163265306 0.2857142857a + a2 = -0.08163265306 The a term is 0.2857142857a. Take half its coefficient (0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. 0.2857142857a + 0.02040816328 + a2 = -0.08163265306 + 0.02040816328 Reorder the terms: 0.02040816328 + 0.2857142857a + a2 = -0.08163265306 + 0.02040816328 Combine like terms: -0.08163265306 + 0.02040816328 = -0.06122448978 0.02040816328 + 0.2857142857a + a2 = -0.06122448978 Factor a perfect square on the left side: (a + 0.1428571429)(a + 0.1428571429) = -0.06122448978 Can't calculate square root of the right side. The solution to this equation could not be determined.
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