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Simplifying 6 + -1a + 1 + 4a2 + 4a2 + 2a = 0 Reorder the terms: 6 + 1 + -1a + 2a + 4a2 + 4a2 = 0 Combine like terms: 6 + 1 = 7 7 + -1a + 2a + 4a2 + 4a2 = 0 Combine like terms: -1a + 2a = 1a 7 + 1a + 4a2 + 4a2 = 0 Combine like terms: 4a2 + 4a2 = 8a2 7 + 1a + 8a2 = 0 Solving 7 + 1a + 8a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + 0.125a + a2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.125a + -0.875 + a2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.125a + a2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.125a + a2 = 0 + -0.875 0.125a + a2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.125a + a2 = -0.875 The a term is 0.125a. Take half its coefficient (0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. 0.125a + 0.00390625 + a2 = -0.875 + 0.00390625 Reorder the terms: 0.00390625 + 0.125a + a2 = -0.875 + 0.00390625 Combine like terms: -0.875 + 0.00390625 = -0.87109375 0.00390625 + 0.125a + a2 = -0.87109375 Factor a perfect square on the left side: (a + 0.0625)(a + 0.0625) = -0.87109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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