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Simplifying 5a2 + 8a + 8 = 0 Reorder the terms: 8 + 8a + 5a2 = 0 Solving 8 + 8a + 5a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.6 + 1.6a + a2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + 1.6a + -1.6 + a2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + 1.6a + a2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 1.6a + a2 = 0 + -1.6 1.6a + a2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 1.6a + a2 = -1.6 The a term is 1.6a. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6a + 0.64 + a2 = -1.6 + 0.64 Reorder the terms: 0.64 + 1.6a + a2 = -1.6 + 0.64 Combine like terms: -1.6 + 0.64 = -0.96 0.64 + 1.6a + a2 = -0.96 Factor a perfect square on the left side: (a + 0.8)(a + 0.8) = -0.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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