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Simplifying 5a2 + a + 344 = 0 Reorder the terms: 344 + a + 5a2 = 0 Solving 344 + a + 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'. 68.8 + 0.2a + a2 = 0 Move the constant term to the right: Add '-68.8' to each side of the equation. 68.8 + 0.2a + -68.8 + a2 = 0 + -68.8 Reorder the terms: 68.8 + -68.8 + 0.2a + a2 = 0 + -68.8 Combine like terms: 68.8 + -68.8 = 0.0 0.0 + 0.2a + a2 = 0 + -68.8 0.2a + a2 = 0 + -68.8 Combine like terms: 0 + -68.8 = -68.8 0.2a + a2 = -68.8 The a term is a. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.2a + 0.25 + a2 = -68.8 + 0.25 Reorder the terms: 0.25 + 0.2a + a2 = -68.8 + 0.25 Combine like terms: -68.8 + 0.25 = -68.55 0.25 + 0.2a + a2 = -68.55 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = -68.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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