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Simplifying 6x2 + -11x + 21 = 0 Reorder the terms: 21 + -11x + 6x2 = 0 Solving 21 + -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'. 3.5 + -1.833333333x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -1.833333333x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -1.833333333x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1.833333333x + x2 = 0 + -3.5 -1.833333333x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -1.833333333x + x2 = -3.5 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 = -3.5 + 0.8402777775 Reorder the terms: 0.8402777775 + -1.833333333x + x2 = -3.5 + 0.8402777775 Combine like terms: -3.5 + 0.8402777775 = -2.6597222225 0.8402777775 + -1.833333333x + x2 = -2.6597222225 Factor a perfect square on the left side: (x + -0.9166666665)(x + -0.9166666665) = -2.6597222225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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