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Simplifying 2a2 + -9a + 160 = 0 Reorder the terms: 160 + -9a + 2a2 = 0 Solving 160 + -9a + 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'. 80 + -4.5a + a2 = 0 Move the constant term to the right: Add '-80' to each side of the equation. 80 + -4.5a + -80 + a2 = 0 + -80 Reorder the terms: 80 + -80 + -4.5a + a2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -4.5a + a2 = 0 + -80 -4.5a + a2 = 0 + -80 Combine like terms: 0 + -80 = -80 -4.5a + a2 = -80 The a term is -4.5a. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5a + 5.0625 + a2 = -80 + 5.0625 Reorder the terms: 5.0625 + -4.5a + a2 = -80 + 5.0625 Combine like terms: -80 + 5.0625 = -74.9375 5.0625 + -4.5a + a2 = -74.9375 Factor a perfect square on the left side: (a + -2.25)(a + -2.25) = -74.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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