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Simplifying 5a2 + 5a + 7 = 0 Reorder the terms: 7 + 5a + 5a2 = 0 Solving 7 + 5a + 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'. 1.4 + a + a2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + a + -1.4 + a2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + a + a2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + a + a2 = 0 + -1.4 a + a2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 a + a2 = -1.4 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. + 0.25 + a2 = -1.4 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + a2 = -1.4 + 0.25 Combine like terms: -1.4 + 0.25 = -1.15 1.25 + a2 = -1.15 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = -1.15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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