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Simplifying 2a2 + 11a + 30.25 = 0 Reorder the terms: 30.25 + 11a + 2a2 = 0 Solving 30.25 + 11a + 2a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 15.125 + 5.5a + a2 = 0 Move the constant term to the right: Add '-15.125' to each side of the equation. 15.125 + 5.5a + -15.125 + a2 = 0 + -15.125 Reorder the terms: 15.125 + -15.125 + 5.5a + a2 = 0 + -15.125 Combine like terms: 15.125 + -15.125 = 0.000 0.000 + 5.5a + a2 = 0 + -15.125 5.5a + a2 = 0 + -15.125 Combine like terms: 0 + -15.125 = -15.125 5.5a + a2 = -15.125 The a term is 5.5a. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5a + 7.5625 + a2 = -15.125 + 7.5625 Reorder the terms: 7.5625 + 5.5a + a2 = -15.125 + 7.5625 Combine like terms: -15.125 + 7.5625 = -7.5625 7.5625 + 5.5a + a2 = -7.5625 Factor a perfect square on the left side: (a + 2.75)(a + 2.75) = -7.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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