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Simplifying 6r2 = -11r + -8 Reorder the terms: 6r2 = -8 + -11r Solving 6r2 = -8 + -11r Solving for variable 'r'. Reorder the terms: 8 + 11r + 6r2 = -8 + -11r + 8 + 11r Reorder the terms: 8 + 11r + 6r2 = -8 + 8 + -11r + 11r Combine like terms: -8 + 8 = 0 8 + 11r + 6r2 = 0 + -11r + 11r 8 + 11r + 6r2 = -11r + 11r Combine like terms: -11r + 11r = 0 8 + 11r + 6r2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.333333333 + 1.833333333r + r2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 1.833333333r + -1.333333333 + r2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 1.833333333r + r2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 1.833333333r + r2 = 0 + -1.333333333 1.833333333r + r2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 1.833333333r + r2 = -1.333333333 The r term is 1.833333333r. 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. 1.833333333r + 0.8402777775 + r2 = -1.333333333 + 0.8402777775 Reorder the terms: 0.8402777775 + 1.833333333r + r2 = -1.333333333 + 0.8402777775 Combine like terms: -1.333333333 + 0.8402777775 = -0.4930555555 0.8402777775 + 1.833333333r + r2 = -0.4930555555 Factor a perfect square on the left side: (r + 0.9166666665)(r + 0.9166666665) = -0.4930555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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