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Simplifying 8a2 + 3a + 800 = 0 Reorder the terms: 800 + 3a + 8a2 = 0 Solving 800 + 3a + 8a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 100 + 0.375a + a2 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + 0.375a + -100 + a2 = 0 + -100 Reorder the terms: 100 + -100 + 0.375a + a2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 0.375a + a2 = 0 + -100 0.375a + a2 = 0 + -100 Combine like terms: 0 + -100 = -100 0.375a + a2 = -100 The a term is 0.375a. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375a + 0.03515625 + a2 = -100 + 0.03515625 Reorder the terms: 0.03515625 + 0.375a + a2 = -100 + 0.03515625 Combine like terms: -100 + 0.03515625 = -99.96484375 0.03515625 + 0.375a + a2 = -99.96484375 Factor a perfect square on the left side: (a + 0.1875)(a + 0.1875) = -99.96484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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