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Simplifying (3a2 + -2a + 4) + (a2 + -3a + 7) = 0 Reorder the terms: (4 + -2a + 3a2) + (a2 + -3a + 7) = 0 Remove parenthesis around (4 + -2a + 3a2) 4 + -2a + 3a2 + (a2 + -3a + 7) = 0 Reorder the terms: 4 + -2a + 3a2 + (7 + -3a + a2) = 0 Remove parenthesis around (7 + -3a + a2) 4 + -2a + 3a2 + 7 + -3a + a2 = 0 Reorder the terms: 4 + 7 + -2a + -3a + 3a2 + a2 = 0 Combine like terms: 4 + 7 = 11 11 + -2a + -3a + 3a2 + a2 = 0 Combine like terms: -2a + -3a = -5a 11 + -5a + 3a2 + a2 = 0 Combine like terms: 3a2 + a2 = 4a2 11 + -5a + 4a2 = 0 Solving 11 + -5a + 4a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + -1.25a + a2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -1.25a + -2.75 + a2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -1.25a + a2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -1.25a + a2 = 0 + -2.75 -1.25a + a2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -1.25a + a2 = -2.75 The a term is -1.25a. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25a + 0.390625 + a2 = -2.75 + 0.390625 Reorder the terms: 0.390625 + -1.25a + a2 = -2.75 + 0.390625 Combine like terms: -2.75 + 0.390625 = -2.359375 0.390625 + -1.25a + a2 = -2.359375 Factor a perfect square on the left side: (a + -0.625)(a + -0.625) = -2.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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