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Simplifying 5 + 6a + 8a2 = 0 Solving 5 + 6a + 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'. 0.625 + 0.75a + a2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 0.75a + -0.625 + a2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 0.75a + a2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.75a + a2 = 0 + -0.625 0.75a + a2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 0.75a + a2 = -0.625 The a term is 0.75a. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75a + 0.140625 + a2 = -0.625 + 0.140625 Reorder the terms: 0.140625 + 0.75a + a2 = -0.625 + 0.140625 Combine like terms: -0.625 + 0.140625 = -0.484375 0.140625 + 0.75a + a2 = -0.484375 Factor a perfect square on the left side: (a + 0.375)(a + 0.375) = -0.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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