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Simplifying 8a2 + -52a + 203 = 0 Reorder the terms: 203 + -52a + 8a2 = 0 Solving 203 + -52a + 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'. 25.375 + -6.5a + a2 = 0 Move the constant term to the right: Add '-25.375' to each side of the equation. 25.375 + -6.5a + -25.375 + a2 = 0 + -25.375 Reorder the terms: 25.375 + -25.375 + -6.5a + a2 = 0 + -25.375 Combine like terms: 25.375 + -25.375 = 0.000 0.000 + -6.5a + a2 = 0 + -25.375 -6.5a + a2 = 0 + -25.375 Combine like terms: 0 + -25.375 = -25.375 -6.5a + a2 = -25.375 The a term is -6.5a. Take half its coefficient (-3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. -6.5a + 10.5625 + a2 = -25.375 + 10.5625 Reorder the terms: 10.5625 + -6.5a + a2 = -25.375 + 10.5625 Combine like terms: -25.375 + 10.5625 = -14.8125 10.5625 + -6.5a + a2 = -14.8125 Factor a perfect square on the left side: (a + -3.25)(a + -3.25) = -14.8125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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