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Simplifying 41 + -2x(8 + -7x) = 0 41 + (8 * -2x + -7x * -2x) = 0 41 + (-16x + 14x2) = 0 Solving 41 + -16x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 2.928571429 + -1.142857143x + x2 = 0 Move the constant term to the right: Add '-2.928571429' to each side of the equation. 2.928571429 + -1.142857143x + -2.928571429 + x2 = 0 + -2.928571429 Reorder the terms: 2.928571429 + -2.928571429 + -1.142857143x + x2 = 0 + -2.928571429 Combine like terms: 2.928571429 + -2.928571429 = 0.000000000 0.000000000 + -1.142857143x + x2 = 0 + -2.928571429 -1.142857143x + x2 = 0 + -2.928571429 Combine like terms: 0 + -2.928571429 = -2.928571429 -1.142857143x + x2 = -2.928571429 The x term is -1.142857143x. Take half its coefficient (-0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. -1.142857143x + 0.3265306123 + x2 = -2.928571429 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143x + x2 = -2.928571429 + 0.3265306123 Combine like terms: -2.928571429 + 0.3265306123 = -2.6020408167 0.3265306123 + -1.142857143x + x2 = -2.6020408167 Factor a perfect square on the left side: (x + -0.5714285715)(x + -0.5714285715) = -2.6020408167 Can't calculate square root of the right side. The solution to this equation could not be determined.
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