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Simplifying 5a2 + -2a + 1 + 3a2 + -4a + 2 = 0 Reorder the terms: 1 + 2 + -2a + -4a + 5a2 + 3a2 = 0 Combine like terms: 1 + 2 = 3 3 + -2a + -4a + 5a2 + 3a2 = 0 Combine like terms: -2a + -4a = -6a 3 + -6a + 5a2 + 3a2 = 0 Combine like terms: 5a2 + 3a2 = 8a2 3 + -6a + 8a2 = 0 Solving 3 + -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'. 0.375 + -0.75a + a2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -0.75a + -0.375 + a2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -0.75a + a2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -0.75a + a2 = 0 + -0.375 -0.75a + a2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -0.75a + a2 = -0.375 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 = -0.375 + 0.140625 Reorder the terms: 0.140625 + -0.75a + a2 = -0.375 + 0.140625 Combine like terms: -0.375 + 0.140625 = -0.234375 0.140625 + -0.75a + a2 = -0.234375 Factor a perfect square on the left side: (a + -0.375)(a + -0.375) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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