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Simplifying 6x2 + 11x + 24 = 0 Reorder the terms: 24 + 11x + 6x2 = 0 Solving 24 + 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'. 4 + 1.833333333x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 1.833333333x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 1.833333333x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1.833333333x + x2 = 0 + -4 1.833333333x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 1.833333333x + x2 = -4 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 = -4 + 0.8402777775 Reorder the terms: 0.8402777775 + 1.833333333x + x2 = -4 + 0.8402777775 Combine like terms: -4 + 0.8402777775 = -3.1597222225 0.8402777775 + 1.833333333x + x2 = -3.1597222225 Factor a perfect square on the left side: (x + 0.9166666665)(x + 0.9166666665) = -3.1597222225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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