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Simplifying 5a2 + 6a + 9 = 0 Reorder the terms: 9 + 6a + 5a2 = 0 Solving 9 + 6a + 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'. 1.8 + 1.2a + a2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 1.2a + -1.8 + a2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 1.2a + a2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 1.2a + a2 = 0 + -1.8 1.2a + a2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 1.2a + a2 = -1.8 The a term is 1.2a. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2a + 0.36 + a2 = -1.8 + 0.36 Reorder the terms: 0.36 + 1.2a + a2 = -1.8 + 0.36 Combine like terms: -1.8 + 0.36 = -1.44 0.36 + 1.2a + a2 = -1.44 Factor a perfect square on the left side: (a + 0.6)(a + 0.6) = -1.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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