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Simplifying 3(x2 + -2x) + 3x2 = 5x + -11 Reorder the terms: 3(-2x + x2) + 3x2 = 5x + -11 (-2x * 3 + x2 * 3) + 3x2 = 5x + -11 (-6x + 3x2) + 3x2 = 5x + -11 Combine like terms: 3x2 + 3x2 = 6x2 -6x + 6x2 = 5x + -11 Reorder the terms: -6x + 6x2 = -11 + 5x Solving -6x + 6x2 = -11 + 5x Solving for variable 'x'. Reorder the terms: 11 + -6x + -5x + 6x2 = -11 + 5x + 11 + -5x Combine like terms: -6x + -5x = -11x 11 + -11x + 6x2 = -11 + 5x + 11 + -5x Reorder the terms: 11 + -11x + 6x2 = -11 + 11 + 5x + -5x Combine like terms: -11 + 11 = 0 11 + -11x + 6x2 = 0 + 5x + -5x 11 + -11x + 6x2 = 5x + -5x Combine like terms: 5x + -5x = 0 11 + -11x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.833333333 + -1.833333333x + x2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + -1.833333333x + -1.833333333 + x2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + -1.833333333x + x2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + -1.833333333x + x2 = 0 + -1.833333333 -1.833333333x + x2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 -1.833333333x + x2 = -1.833333333 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 = -1.833333333 + 0.8402777775 Reorder the terms: 0.8402777775 + -1.833333333x + x2 = -1.833333333 + 0.8402777775 Combine like terms: -1.833333333 + 0.8402777775 = -0.9930555555 0.8402777775 + -1.833333333x + x2 = -0.9930555555 Factor a perfect square on the left side: (x + -0.9166666665)(x + -0.9166666665) = -0.9930555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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