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Simplifying (9a2 + 2a + -7) + -1(-2a2 + 6a + -10) = 0 Reorder the terms: (-7 + 2a + 9a2) + -1(-2a2 + 6a + -10) = 0 Remove parenthesis around (-7 + 2a + 9a2) -7 + 2a + 9a2 + -1(-2a2 + 6a + -10) = 0 Reorder the terms: -7 + 2a + 9a2 + -1(-10 + 6a + -2a2) = 0 -7 + 2a + 9a2 + (-10 * -1 + 6a * -1 + -2a2 * -1) = 0 -7 + 2a + 9a2 + (10 + -6a + 2a2) = 0 Reorder the terms: -7 + 10 + 2a + -6a + 9a2 + 2a2 = 0 Combine like terms: -7 + 10 = 3 3 + 2a + -6a + 9a2 + 2a2 = 0 Combine like terms: 2a + -6a = -4a 3 + -4a + 9a2 + 2a2 = 0 Combine like terms: 9a2 + 2a2 = 11a2 3 + -4a + 11a2 = 0 Solving 3 + -4a + 11a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.2727272727 + -0.3636363636a + a2 = 0 Move the constant term to the right: Add '-0.2727272727' to each side of the equation. 0.2727272727 + -0.3636363636a + -0.2727272727 + a2 = 0 + -0.2727272727 Reorder the terms: 0.2727272727 + -0.2727272727 + -0.3636363636a + a2 = 0 + -0.2727272727 Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000 0.0000000000 + -0.3636363636a + a2 = 0 + -0.2727272727 -0.3636363636a + a2 = 0 + -0.2727272727 Combine like terms: 0 + -0.2727272727 = -0.2727272727 -0.3636363636a + a2 = -0.2727272727 The a term is -0.3636363636a. Take half its coefficient (-0.1818181818). Square it (0.03305785123) and add it to both sides. Add '0.03305785123' to each side of the equation. -0.3636363636a + 0.03305785123 + a2 = -0.2727272727 + 0.03305785123 Reorder the terms: 0.03305785123 + -0.3636363636a + a2 = -0.2727272727 + 0.03305785123 Combine like terms: -0.2727272727 + 0.03305785123 = -0.23966942147 0.03305785123 + -0.3636363636a + a2 = -0.23966942147 Factor a perfect square on the left side: (a + -0.1818181818)(a + -0.1818181818) = -0.23966942147 Can't calculate square root of the right side. The solution to this equation could not be determined.
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