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Simplifying 6x2 + 11x + 13 = 0 Reorder the terms: 13 + 11x + 6x2 = 0 Solving 13 + 11x + 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'. 2.166666667 + 1.833333333x + x2 = 0 Move the constant term to the right: Add '-2.166666667' to each side of the equation. 2.166666667 + 1.833333333x + -2.166666667 + x2 = 0 + -2.166666667 Reorder the terms: 2.166666667 + -2.166666667 + 1.833333333x + x2 = 0 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + 1.833333333x + x2 = 0 + -2.166666667 1.833333333x + x2 = 0 + -2.166666667 Combine like terms: 0 + -2.166666667 = -2.166666667 1.833333333x + x2 = -2.166666667 The x term is 1.833333333x. Take half its coefficient (0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. 1.833333333x + 0.8402777775 + x2 = -2.166666667 + 0.8402777775 Reorder the terms: 0.8402777775 + 1.833333333x + x2 = -2.166666667 + 0.8402777775 Combine like terms: -2.166666667 + 0.8402777775 = -1.3263888895 0.8402777775 + 1.833333333x + x2 = -1.3263888895 Factor a perfect square on the left side: (x + 0.9166666665)(x + 0.9166666665) = -1.3263888895 Can't calculate square root of the right side. The solution to this equation could not be determined.
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