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Simplifying (6a2 + -1a + 8) + (2a2 + -3a + 3) = 0 Reorder the terms: (8 + -1a + 6a2) + (2a2 + -3a + 3) = 0 Remove parenthesis around (8 + -1a + 6a2) 8 + -1a + 6a2 + (2a2 + -3a + 3) = 0 Reorder the terms: 8 + -1a + 6a2 + (3 + -3a + 2a2) = 0 Remove parenthesis around (3 + -3a + 2a2) 8 + -1a + 6a2 + 3 + -3a + 2a2 = 0 Reorder the terms: 8 + 3 + -1a + -3a + 6a2 + 2a2 = 0 Combine like terms: 8 + 3 = 11 11 + -1a + -3a + 6a2 + 2a2 = 0 Combine like terms: -1a + -3a = -4a 11 + -4a + 6a2 + 2a2 = 0 Combine like terms: 6a2 + 2a2 = 8a2 11 + -4a + 8a2 = 0 Solving 11 + -4a + 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'. 1.375 + -0.5a + a2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + -0.5a + -1.375 + a2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + -0.5a + a2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + -0.5a + a2 = 0 + -1.375 -0.5a + a2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 -0.5a + a2 = -1.375 The a term is -0.5a. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5a + 0.0625 + a2 = -1.375 + 0.0625 Reorder the terms: 0.0625 + -0.5a + a2 = -1.375 + 0.0625 Combine like terms: -1.375 + 0.0625 = -1.3125 0.0625 + -0.5a + a2 = -1.3125 Factor a perfect square on the left side: (a + -0.25)(a + -0.25) = -1.3125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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