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Simplifying 2(3x2 + 3) + (x2 + -5x + 7) = 0 Reorder the terms: 2(3 + 3x2) + (x2 + -5x + 7) = 0 (3 * 2 + 3x2 * 2) + (x2 + -5x + 7) = 0 (6 + 6x2) + (x2 + -5x + 7) = 0 Reorder the terms: 6 + 6x2 + (7 + -5x + x2) = 0 Remove parenthesis around (7 + -5x + x2) 6 + 6x2 + 7 + -5x + x2 = 0 Reorder the terms: 6 + 7 + -5x + 6x2 + x2 = 0 Combine like terms: 6 + 7 = 13 13 + -5x + 6x2 + x2 = 0 Combine like terms: 6x2 + x2 = 7x2 13 + -5x + 7x2 = 0 Solving 13 + -5x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.857142857 + -0.7142857143x + x2 = 0 Move the constant term to the right: Add '-1.857142857' to each side of the equation. 1.857142857 + -0.7142857143x + -1.857142857 + x2 = 0 + -1.857142857 Reorder the terms: 1.857142857 + -1.857142857 + -0.7142857143x + x2 = 0 + -1.857142857 Combine like terms: 1.857142857 + -1.857142857 = 0.000000000 0.000000000 + -0.7142857143x + x2 = 0 + -1.857142857 -0.7142857143x + x2 = 0 + -1.857142857 Combine like terms: 0 + -1.857142857 = -1.857142857 -0.7142857143x + x2 = -1.857142857 The x term is -0.7142857143x. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143x + 0.1275510204 + x2 = -1.857142857 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143x + x2 = -1.857142857 + 0.1275510204 Combine like terms: -1.857142857 + 0.1275510204 = -1.7295918366 0.1275510204 + -0.7142857143x + x2 = -1.7295918366 Factor a perfect square on the left side: (x + -0.3571428572)(x + -0.3571428572) = -1.7295918366 Can't calculate square root of the right side. The solution to this equation could not be determined.
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