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Simplifying 9a2 + 4a + 40 = 0 Reorder the terms: 40 + 4a + 9a2 = 0 Solving 40 + 4a + 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'. 4.444444444 + 0.4444444444a + a2 = 0 Move the constant term to the right: Add '-4.444444444' to each side of the equation. 4.444444444 + 0.4444444444a + -4.444444444 + a2 = 0 + -4.444444444 Reorder the terms: 4.444444444 + -4.444444444 + 0.4444444444a + a2 = 0 + -4.444444444 Combine like terms: 4.444444444 + -4.444444444 = 0.000000000 0.000000000 + 0.4444444444a + a2 = 0 + -4.444444444 0.4444444444a + a2 = 0 + -4.444444444 Combine like terms: 0 + -4.444444444 = -4.444444444 0.4444444444a + a2 = -4.444444444 The a term is 0.4444444444a. Take half its coefficient (0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. 0.4444444444a + 0.04938271604 + a2 = -4.444444444 + 0.04938271604 Reorder the terms: 0.04938271604 + 0.4444444444a + a2 = -4.444444444 + 0.04938271604 Combine like terms: -4.444444444 + 0.04938271604 = -4.39506172796 0.04938271604 + 0.4444444444a + a2 = -4.39506172796 Factor a perfect square on the left side: (a + 0.2222222222)(a + 0.2222222222) = -4.39506172796 Can't calculate square root of the right side. The solution to this equation could not be determined.
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