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Simplifying 31 + 6x2 + 7x = 0 Reorder the terms: 31 + 7x + 6x2 = 0 Solving 31 + 7x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 5.166666667 + 1.166666667x + x2 = 0 Move the constant term to the right: Add '-5.166666667' to each side of the equation. 5.166666667 + 1.166666667x + -5.166666667 + x2 = 0 + -5.166666667 Reorder the terms: 5.166666667 + -5.166666667 + 1.166666667x + x2 = 0 + -5.166666667 Combine like terms: 5.166666667 + -5.166666667 = 0.000000000 0.000000000 + 1.166666667x + x2 = 0 + -5.166666667 1.166666667x + x2 = 0 + -5.166666667 Combine like terms: 0 + -5.166666667 = -5.166666667 1.166666667x + x2 = -5.166666667 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 = -5.166666667 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667x + x2 = -5.166666667 + 0.3402777780 Combine like terms: -5.166666667 + 0.3402777780 = -4.826388889 0.3402777780 + 1.166666667x + x2 = -4.826388889 Factor a perfect square on the left side: (x + 0.5833333335)(x + 0.5833333335) = -4.826388889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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