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Simplifying 4a2 + 3a + 2.25 = 0 Reorder the terms: 2.25 + 3a + 4a2 = 0 Solving 2.25 + 3a + 4a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.5625 + 0.75a + a2 = 0 Move the constant term to the right: Add '-0.5625' to each side of the equation. 0.5625 + 0.75a + -0.5625 + a2 = 0 + -0.5625 Reorder the terms: 0.5625 + -0.5625 + 0.75a + a2 = 0 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + 0.75a + a2 = 0 + -0.5625 0.75a + a2 = 0 + -0.5625 Combine like terms: 0 + -0.5625 = -0.5625 0.75a + a2 = -0.5625 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 = -0.5625 + 0.140625 Reorder the terms: 0.140625 + 0.75a + a2 = -0.5625 + 0.140625 Combine like terms: -0.5625 + 0.140625 = -0.421875 0.140625 + 0.75a + a2 = -0.421875 Factor a perfect square on the left side: (a + 0.375)(a + 0.375) = -0.421875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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