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Simplifying 7x2 + -8x + 10 = 0 Reorder the terms: 10 + -8x + 7x2 = 0 Solving 10 + -8x + 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'. 1.428571429 + -1.142857143x + x2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -1.142857143x + -1.428571429 + x2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -1.142857143x + x2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -1.142857143x + x2 = 0 + -1.428571429 -1.142857143x + x2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -1.142857143x + x2 = -1.428571429 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 = -1.428571429 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143x + x2 = -1.428571429 + 0.3265306123 Combine like terms: -1.428571429 + 0.3265306123 = -1.1020408167 0.3265306123 + -1.142857143x + x2 = -1.1020408167 Factor a perfect square on the left side: (x + -0.5714285715)(x + -0.5714285715) = -1.1020408167 Can't calculate square root of the right side. The solution to this equation could not be determined.
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