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Simplifying 56a2 + 3a = 876 + 456a2 Reorder the terms: 3a + 56a2 = 876 + 456a2 Solving 3a + 56a2 = 876 + 456a2 Solving for variable 'a'. Reorder the terms: -876 + 3a + 56a2 + -456a2 = 876 + 456a2 + -876 + -456a2 Combine like terms: 56a2 + -456a2 = -400a2 -876 + 3a + -400a2 = 876 + 456a2 + -876 + -456a2 Reorder the terms: -876 + 3a + -400a2 = 876 + -876 + 456a2 + -456a2 Combine like terms: 876 + -876 = 0 -876 + 3a + -400a2 = 0 + 456a2 + -456a2 -876 + 3a + -400a2 = 456a2 + -456a2 Combine like terms: 456a2 + -456a2 = 0 -876 + 3a + -400a2 = 0 Begin completing the square. Divide all terms by -400 the coefficient of the squared term: Divide each side by '-400'. 2.19 + -0.0075a + a2 = 0.00 Move the constant term to the right: Add '-2.19' to each side of the equation. 2.19 + -0.0075a + -2.19 + a2 = 0.00 + -2.19 Reorder the terms: 2.19 + -2.19 + -0.0075a + a2 = 0.00 + -2.19 Combine like terms: 2.19 + -2.19 = 0.00 0.00 + -0.0075a + a2 = 0.00 + -2.19 -0.0075a + a2 = 0.00 + -2.19 Combine like terms: 0.00 + -2.19 = -2.19 -0.0075a + a2 = -2.19 The a term is -0.0075a. Take half its coefficient (-0.00375). Square it (0.0000140625) and add it to both sides. Add '0.0000140625' to each side of the equation. -0.0075a + 0.0000140625 + a2 = -2.19 + 0.0000140625 Reorder the terms: 0.0000140625 + -0.0075a + a2 = -2.19 + 0.0000140625 Combine like terms: -2.19 + 0.0000140625 = -2.1899859375 0.0000140625 + -0.0075a + a2 = -2.1899859375 Factor a perfect square on the left side: (a + -0.00375)(a + -0.00375) = -2.1899859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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