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Simplifying 2a2 + -17a + 40 = 0 Reorder the terms: 40 + -17a + 2a2 = 0 Solving 40 + -17a + 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'. 20 + -8.5a + a2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -8.5a + -20 + a2 = 0 + -20 Reorder the terms: 20 + -20 + -8.5a + a2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8.5a + a2 = 0 + -20 -8.5a + a2 = 0 + -20 Combine like terms: 0 + -20 = -20 -8.5a + a2 = -20 The a term is -8.5a. Take half its coefficient (-4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. -8.5a + 18.0625 + a2 = -20 + 18.0625 Reorder the terms: 18.0625 + -8.5a + a2 = -20 + 18.0625 Combine like terms: -20 + 18.0625 = -1.9375 18.0625 + -8.5a + a2 = -1.9375 Factor a perfect square on the left side: (a + -4.25)(a + -4.25) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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