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Simplifying (3a2 + 2a + 8) + (5a2 + -1a) = 0 Reorder the terms: (8 + 2a + 3a2) + (5a2 + -1a) = 0 Remove parenthesis around (8 + 2a + 3a2) 8 + 2a + 3a2 + (5a2 + -1a) = 0 Reorder the terms: 8 + 2a + 3a2 + (-1a + 5a2) = 0 Remove parenthesis around (-1a + 5a2) 8 + 2a + 3a2 + -1a + 5a2 = 0 Reorder the terms: 8 + 2a + -1a + 3a2 + 5a2 = 0 Combine like terms: 2a + -1a = 1a 8 + 1a + 3a2 + 5a2 = 0 Combine like terms: 3a2 + 5a2 = 8a2 8 + 1a + 8a2 = 0 Solving 8 + 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'. 1 + 0.125a + a2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.125a + -1 + a2 = 0 + -1 Reorder the terms: 1 + -1 + 0.125a + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.125a + a2 = 0 + -1 0.125a + a2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.125a + a2 = -1 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 = -1 + 0.00390625 Reorder the terms: 0.00390625 + 0.125a + a2 = -1 + 0.00390625 Combine like terms: -1 + 0.00390625 = -0.99609375 0.00390625 + 0.125a + a2 = -0.99609375 Factor a perfect square on the left side: (a + 0.0625)(a + 0.0625) = -0.99609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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