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Simplifying -6x2 + -6 = 6 + -7x + -9 Reorder the terms: -6 + -6x2 = 6 + -7x + -9 Reorder the terms: -6 + -6x2 = 6 + -9 + -7x Combine like terms: 6 + -9 = -3 -6 + -6x2 = -3 + -7x Solving -6 + -6x2 = -3 + -7x Solving for variable 'x'. Reorder the terms: -6 + 3 + 7x + -6x2 = -3 + -7x + 3 + 7x Combine like terms: -6 + 3 = -3 -3 + 7x + -6x2 = -3 + -7x + 3 + 7x Reorder the terms: -3 + 7x + -6x2 = -3 + 3 + -7x + 7x Combine like terms: -3 + 3 = 0 -3 + 7x + -6x2 = 0 + -7x + 7x -3 + 7x + -6x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 7x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 0.5 + -1.166666667x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -1.166666667x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -1.166666667x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1.166666667x + x2 = 0 + -0.5 -1.166666667x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -1.166666667x + x2 = -0.5 The x term is -1.166666667x. 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. -1.166666667x + 0.3402777780 + x2 = -0.5 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667x + x2 = -0.5 + 0.3402777780 Combine like terms: -0.5 + 0.3402777780 = -0.159722222 0.3402777780 + -1.166666667x + x2 = -0.159722222 Factor a perfect square on the left side: (x + -0.5833333335)(x + -0.5833333335) = -0.159722222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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