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Simplifying 2a2 + -3a + 108 = 0 Reorder the terms: 108 + -3a + 2a2 = 0 Solving 108 + -3a + 2a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 54 + -1.5a + a2 = 0 Move the constant term to the right: Add '-54' to each side of the equation. 54 + -1.5a + -54 + a2 = 0 + -54 Reorder the terms: 54 + -54 + -1.5a + a2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -1.5a + a2 = 0 + -54 -1.5a + a2 = 0 + -54 Combine like terms: 0 + -54 = -54 -1.5a + a2 = -54 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 = -54 + 0.5625 Reorder the terms: 0.5625 + -1.5a + a2 = -54 + 0.5625 Combine like terms: -54 + 0.5625 = -53.4375 0.5625 + -1.5a + a2 = -53.4375 Factor a perfect square on the left side: (a + -0.75)(a + -0.75) = -53.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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