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Simplifying 25a2 + 29a + 9 = 0 Reorder the terms: 9 + 29a + 25a2 = 0 Solving 9 + 29a + 25a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.36 + 1.16a + a2 = 0 Move the constant term to the right: Add '-0.36' to each side of the equation. 0.36 + 1.16a + -0.36 + a2 = 0 + -0.36 Reorder the terms: 0.36 + -0.36 + 1.16a + a2 = 0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + 1.16a + a2 = 0 + -0.36 1.16a + a2 = 0 + -0.36 Combine like terms: 0 + -0.36 = -0.36 1.16a + a2 = -0.36 The a term is 1.16a. Take half its coefficient (0.58). Square it (0.3364) and add it to both sides. Add '0.3364' to each side of the equation. 1.16a + 0.3364 + a2 = -0.36 + 0.3364 Reorder the terms: 0.3364 + 1.16a + a2 = -0.36 + 0.3364 Combine like terms: -0.36 + 0.3364 = -0.0236 0.3364 + 1.16a + a2 = -0.0236 Factor a perfect square on the left side: (a + 0.58)(a + 0.58) = -0.0236 Can't calculate square root of the right side. The solution to this equation could not be determined.
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