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Simplifying 18a2 + 27a + 56 = 0 Reorder the terms: 56 + 27a + 18a2 = 0 Solving 56 + 27a + 18a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 3.111111111 + 1.5a + a2 = 0 Move the constant term to the right: Add '-3.111111111' to each side of the equation. 3.111111111 + 1.5a + -3.111111111 + a2 = 0 + -3.111111111 Reorder the terms: 3.111111111 + -3.111111111 + 1.5a + a2 = 0 + -3.111111111 Combine like terms: 3.111111111 + -3.111111111 = 0.000000000 0.000000000 + 1.5a + a2 = 0 + -3.111111111 1.5a + a2 = 0 + -3.111111111 Combine like terms: 0 + -3.111111111 = -3.111111111 1.5a + a2 = -3.111111111 The a term is 1.5a. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5a + 0.5625 + a2 = -3.111111111 + 0.5625 Reorder the terms: 0.5625 + 1.5a + a2 = -3.111111111 + 0.5625 Combine like terms: -3.111111111 + 0.5625 = -2.548611111 0.5625 + 1.5a + a2 = -2.548611111 Factor a perfect square on the left side: (a + 0.75)(a + 0.75) = -2.548611111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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