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Simplifying 3a2 + -6a + 8 + 6a2 + -4 + 2a2 + -1a + 12 = 0 Reorder the terms: 8 + -4 + 12 + -6a + -1a + 3a2 + 6a2 + 2a2 = 0 Combine like terms: 8 + -4 = 4 4 + 12 + -6a + -1a + 3a2 + 6a2 + 2a2 = 0 Combine like terms: 4 + 12 = 16 16 + -6a + -1a + 3a2 + 6a2 + 2a2 = 0 Combine like terms: -6a + -1a = -7a 16 + -7a + 3a2 + 6a2 + 2a2 = 0 Combine like terms: 3a2 + 6a2 = 9a2 16 + -7a + 9a2 + 2a2 = 0 Combine like terms: 9a2 + 2a2 = 11a2 16 + -7a + 11a2 = 0 Solving 16 + -7a + 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'. 1.454545455 + -0.6363636364a + a2 = 0 Move the constant term to the right: Add '-1.454545455' to each side of the equation. 1.454545455 + -0.6363636364a + -1.454545455 + a2 = 0 + -1.454545455 Reorder the terms: 1.454545455 + -1.454545455 + -0.6363636364a + a2 = 0 + -1.454545455 Combine like terms: 1.454545455 + -1.454545455 = 0.000000000 0.000000000 + -0.6363636364a + a2 = 0 + -1.454545455 -0.6363636364a + a2 = 0 + -1.454545455 Combine like terms: 0 + -1.454545455 = -1.454545455 -0.6363636364a + a2 = -1.454545455 The a term is -0.6363636364a. Take half its coefficient (-0.3181818182). Square it (0.1012396694) and add it to both sides. Add '0.1012396694' to each side of the equation. -0.6363636364a + 0.1012396694 + a2 = -1.454545455 + 0.1012396694 Reorder the terms: 0.1012396694 + -0.6363636364a + a2 = -1.454545455 + 0.1012396694 Combine like terms: -1.454545455 + 0.1012396694 = -1.3533057856 0.1012396694 + -0.6363636364a + a2 = -1.3533057856 Factor a perfect square on the left side: (a + -0.3181818182)(a + -0.3181818182) = -1.3533057856 Can't calculate square root of the right side. The solution to this equation could not be determined.
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