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Simplifying 9a2 + 11a + 9 = 0 Reorder the terms: 9 + 11a + 9a2 = 0 Solving 9 + 11a + 9a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1 + 1.222222222a + a2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.222222222a + -1 + a2 = 0 + -1 Reorder the terms: 1 + -1 + 1.222222222a + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.222222222a + a2 = 0 + -1 1.222222222a + a2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.222222222a + a2 = -1 The a term is 1.222222222a. Take half its coefficient (0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. 1.222222222a + 0.3734567900 + a2 = -1 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222a + a2 = -1 + 0.3734567900 Combine like terms: -1 + 0.3734567900 = -0.62654321 0.3734567900 + 1.222222222a + a2 = -0.62654321 Factor a perfect square on the left side: (a + 0.611111111)(a + 0.611111111) = -0.62654321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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