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Simplifying 7x2 = x + -8 Reorder the terms: 7x2 = -8 + x Solving 7x2 = -8 + x Solving for variable 'x'. Reorder the terms: 8 + -1x + 7x2 = -8 + x + 8 + -1x Reorder the terms: 8 + -1x + 7x2 = -8 + 8 + x + -1x Combine like terms: -8 + 8 = 0 8 + -1x + 7x2 = 0 + x + -1x 8 + -1x + 7x2 = x + -1x Combine like terms: x + -1x = 0 8 + -1x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -0.1428571429x + -1.142857143 + x2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -0.1428571429x + x2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -0.1428571429x + x2 = 0 + -1.142857143 -0.1428571429x + x2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -0.1428571429x + x2 = -1.142857143 The x term is -0.1428571429x. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429x + 0.005102040819 + x2 = -1.142857143 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429x + x2 = -1.142857143 + 0.005102040819 Combine like terms: -1.142857143 + 0.005102040819 = -1.137755102181 0.005102040819 + -0.1428571429x + x2 = -1.137755102181 Factor a perfect square on the left side: (x + -0.07142857145)(x + -0.07142857145) = -1.137755102181 Can't calculate square root of the right side. The solution to this equation could not be determined.
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