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Simplifying 6x2 + -11x + 180 = 0 Reorder the terms: 180 + -11x + 6x2 = 0 Solving 180 + -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'. 30 + -1.833333333x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -1.833333333x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -1.833333333x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1.833333333x + x2 = 0 + -30 -1.833333333x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -1.833333333x + x2 = -30 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 = -30 + 0.8402777775 Reorder the terms: 0.8402777775 + -1.833333333x + x2 = -30 + 0.8402777775 Combine like terms: -30 + 0.8402777775 = -29.1597222225 0.8402777775 + -1.833333333x + x2 = -29.1597222225 Factor a perfect square on the left side: (x + -0.9166666665)(x + -0.9166666665) = -29.1597222225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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