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Simplifying 6w2 + -11w + 11 = 0 Reorder the terms: 11 + -11w + 6w2 = 0 Solving 11 + -11w + 6w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.833333333 + -1.833333333w + w2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + -1.833333333w + -1.833333333 + w2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + -1.833333333w + w2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + -1.833333333w + w2 = 0 + -1.833333333 -1.833333333w + w2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 -1.833333333w + w2 = -1.833333333 The w term is -1.833333333w. 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. -1.833333333w + 0.8402777775 + w2 = -1.833333333 + 0.8402777775 Reorder the terms: 0.8402777775 + -1.833333333w + w2 = -1.833333333 + 0.8402777775 Combine like terms: -1.833333333 + 0.8402777775 = -0.9930555555 0.8402777775 + -1.833333333w + w2 = -0.9930555555 Factor a perfect square on the left side: (w + -0.9166666665)(w + -0.9166666665) = -0.9930555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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