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Simplifying 6a2 + -13a + 6a = -12 Reorder the terms: -13a + 6a + 6a2 = -12 Combine like terms: -13a + 6a = -7a -7a + 6a2 = -12 Solving -7a + 6a2 = -12 Solving for variable 'a'. Reorder the terms: 12 + -7a + 6a2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -7a + 6a2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2 + -1.166666667a + a2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.166666667a + -2 + a2 = 0 + -2 Reorder the terms: 2 + -2 + -1.166666667a + a2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.166666667a + a2 = 0 + -2 -1.166666667a + a2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.166666667a + a2 = -2 The a term is -1.166666667a. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667a + 0.3402777780 + a2 = -2 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667a + a2 = -2 + 0.3402777780 Combine like terms: -2 + 0.3402777780 = -1.659722222 0.3402777780 + -1.166666667a + a2 = -1.659722222 Factor a perfect square on the left side: (a + -0.5833333335)(a + -0.5833333335) = -1.659722222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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