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Simplifying 6r2 + 11r + 6 = 0 Reorder the terms: 6 + 11r + 6r2 = 0 Solving 6 + 11r + 6r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1 + 1.833333333r + r2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.833333333r + -1 + r2 = 0 + -1 Reorder the terms: 1 + -1 + 1.833333333r + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.833333333r + r2 = 0 + -1 1.833333333r + r2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.833333333r + r2 = -1 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 + 0.8402777775 Reorder the terms: 0.8402777775 + 1.833333333r + r2 = -1 + 0.8402777775 Combine like terms: -1 + 0.8402777775 = -0.1597222225 0.8402777775 + 1.833333333r + r2 = -0.1597222225 Factor a perfect square on the left side: (r + 0.9166666665)(r + 0.9166666665) = -0.1597222225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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