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Simplifying 0 = -6x2 + -7x + -8 Reorder the terms: 0 = -8 + -7x + -6x2 Solving 0 = -8 + -7x + -6x2 Solving for variable 'x'. Combine like terms: 0 + 8 = 8 8 + 7x + 6x2 = -8 + -7x + -6x2 + 8 + 7x + 6x2 Reorder the terms: 8 + 7x + 6x2 = -8 + 8 + -7x + 7x + -6x2 + 6x2 Combine like terms: -8 + 8 = 0 8 + 7x + 6x2 = 0 + -7x + 7x + -6x2 + 6x2 8 + 7x + 6x2 = -7x + 7x + -6x2 + 6x2 Combine like terms: -7x + 7x = 0 8 + 7x + 6x2 = 0 + -6x2 + 6x2 8 + 7x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 8 + 7x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.333333333 + 1.166666667x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 1.166666667x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 1.166666667x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 1.166666667x + x2 = 0 + -1.333333333 1.166666667x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 1.166666667x + x2 = -1.333333333 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 = -1.333333333 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667x + x2 = -1.333333333 + 0.3402777780 Combine like terms: -1.333333333 + 0.3402777780 = -0.993055555 0.3402777780 + 1.166666667x + x2 = -0.993055555 Factor a perfect square on the left side: (x + 0.5833333335)(x + 0.5833333335) = -0.993055555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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