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Simplifying 3a2 + -8a + 9 = 0 Reorder the terms: 9 + -8a + 3a2 = 0 Solving 9 + -8a + 3a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + -2.666666667a + a2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2.666666667a + -3 + a2 = 0 + -3 Reorder the terms: 3 + -3 + -2.666666667a + a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2.666666667a + a2 = 0 + -3 -2.666666667a + a2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2.666666667a + a2 = -3 The a term is -2.666666667a. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667a + 1.777777780 + a2 = -3 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667a + a2 = -3 + 1.777777780 Combine like terms: -3 + 1.777777780 = -1.22222222 1.777777780 + -2.666666667a + a2 = -1.22222222 Factor a perfect square on the left side: (a + -1.333333334)(a + -1.333333334) = -1.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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