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Simplifying -6a2 + 3a + -13 = 0 Reorder the terms: -13 + 3a + -6a2 = 0 Solving -13 + 3a + -6a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 2.166666667 + -0.5a + a2 = 0 Move the constant term to the right: Add '-2.166666667' to each side of the equation. 2.166666667 + -0.5a + -2.166666667 + a2 = 0 + -2.166666667 Reorder the terms: 2.166666667 + -2.166666667 + -0.5a + a2 = 0 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + -0.5a + a2 = 0 + -2.166666667 -0.5a + a2 = 0 + -2.166666667 Combine like terms: 0 + -2.166666667 = -2.166666667 -0.5a + a2 = -2.166666667 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 = -2.166666667 + 0.0625 Reorder the terms: 0.0625 + -0.5a + a2 = -2.166666667 + 0.0625 Combine like terms: -2.166666667 + 0.0625 = -2.104166667 0.0625 + -0.5a + a2 = -2.104166667 Factor a perfect square on the left side: (a + -0.25)(a + -0.25) = -2.104166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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