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Simplifying 25a2 + 10a + 8 = 0 Reorder the terms: 8 + 10a + 25a2 = 0 Solving 8 + 10a + 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'. 0.32 + 0.4a + a2 = 0 Move the constant term to the right: Add '-0.32' to each side of the equation. 0.32 + 0.4a + -0.32 + a2 = 0 + -0.32 Reorder the terms: 0.32 + -0.32 + 0.4a + a2 = 0 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + 0.4a + a2 = 0 + -0.32 0.4a + a2 = 0 + -0.32 Combine like terms: 0 + -0.32 = -0.32 0.4a + a2 = -0.32 The a term is 0.4a. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4a + 0.04 + a2 = -0.32 + 0.04 Reorder the terms: 0.04 + 0.4a + a2 = -0.32 + 0.04 Combine like terms: -0.32 + 0.04 = -0.28 0.04 + 0.4a + a2 = -0.28 Factor a perfect square on the left side: (a + 0.2)(a + 0.2) = -0.28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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