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Simplifying (3a2 + 2a + -1) + (-2a2 + -3a + 6) = 0 Reorder the terms: (-1 + 2a + 3a2) + (-2a2 + -3a + 6) = 0 Remove parenthesis around (-1 + 2a + 3a2) -1 + 2a + 3a2 + (-2a2 + -3a + 6) = 0 Reorder the terms: -1 + 2a + 3a2 + (6 + -3a + -2a2) = 0 Remove parenthesis around (6 + -3a + -2a2) -1 + 2a + 3a2 + 6 + -3a + -2a2 = 0 Reorder the terms: -1 + 6 + 2a + -3a + 3a2 + -2a2 = 0 Combine like terms: -1 + 6 = 5 5 + 2a + -3a + 3a2 + -2a2 = 0 Combine like terms: 2a + -3a = -1a 5 + -1a + 3a2 + -2a2 = 0 Combine like terms: 3a2 + -2a2 = 1a2 5 + -1a + 1a2 = 0 Solving 5 + -1a + 1a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -1a + -5 + a2 = 0 + -5 Reorder the terms: 5 + -5 + -1a + a2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a + a2 = 0 + -5 -1a + a2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1a + a2 = -5 The a term is -1a. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1a + 0.25 + a2 = -5 + 0.25 Reorder the terms: 0.25 + -1a + a2 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 0.25 + -1a + a2 = -4.75 Factor a perfect square on the left side: (a + -0.5)(a + -0.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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