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Simplifying 11a2 + -4a + 7 = 0 Reorder the terms: 7 + -4a + 11a2 = 0 Solving 7 + -4a + 11a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.6363636364 + -0.3636363636a + a2 = 0 Move the constant term to the right: Add '-0.6363636364' to each side of the equation. 0.6363636364 + -0.3636363636a + -0.6363636364 + a2 = 0 + -0.6363636364 Reorder the terms: 0.6363636364 + -0.6363636364 + -0.3636363636a + a2 = 0 + -0.6363636364 Combine like terms: 0.6363636364 + -0.6363636364 = 0.0000000000 0.0000000000 + -0.3636363636a + a2 = 0 + -0.6363636364 -0.3636363636a + a2 = 0 + -0.6363636364 Combine like terms: 0 + -0.6363636364 = -0.6363636364 -0.3636363636a + a2 = -0.6363636364 The a term is -0.3636363636a. Take half its coefficient (-0.1818181818). Square it (0.03305785123) and add it to both sides. Add '0.03305785123' to each side of the equation. -0.3636363636a + 0.03305785123 + a2 = -0.6363636364 + 0.03305785123 Reorder the terms: 0.03305785123 + -0.3636363636a + a2 = -0.6363636364 + 0.03305785123 Combine like terms: -0.6363636364 + 0.03305785123 = -0.60330578517 0.03305785123 + -0.3636363636a + a2 = -0.60330578517 Factor a perfect square on the left side: (a + -0.1818181818)(a + -0.1818181818) = -0.60330578517 Can't calculate square root of the right side. The solution to this equation could not be determined.
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