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Simplifying 9a2 + -31a + 46 = 0 Reorder the terms: 46 + -31a + 9a2 = 0 Solving 46 + -31a + 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'. 5.111111111 + -3.444444444a + a2 = 0 Move the constant term to the right: Add '-5.111111111' to each side of the equation. 5.111111111 + -3.444444444a + -5.111111111 + a2 = 0 + -5.111111111 Reorder the terms: 5.111111111 + -5.111111111 + -3.444444444a + a2 = 0 + -5.111111111 Combine like terms: 5.111111111 + -5.111111111 = 0.000000000 0.000000000 + -3.444444444a + a2 = 0 + -5.111111111 -3.444444444a + a2 = 0 + -5.111111111 Combine like terms: 0 + -5.111111111 = -5.111111111 -3.444444444a + a2 = -5.111111111 The a term is -3.444444444a. Take half its coefficient (-1.722222222). Square it (2.966049382) and add it to both sides. Add '2.966049382' to each side of the equation. -3.444444444a + 2.966049382 + a2 = -5.111111111 + 2.966049382 Reorder the terms: 2.966049382 + -3.444444444a + a2 = -5.111111111 + 2.966049382 Combine like terms: -5.111111111 + 2.966049382 = -2.145061729 2.966049382 + -3.444444444a + a2 = -2.145061729 Factor a perfect square on the left side: (a + -1.722222222)(a + -1.722222222) = -2.145061729 Can't calculate square root of the right side. The solution to this equation could not be determined.
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