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Simplifying -3x2 + 7 + 17x2 + -2x = 0 Reorder the terms: 7 + -2x + -3x2 + 17x2 = 0 Combine like terms: -3x2 + 17x2 = 14x2 7 + -2x + 14x2 = 0 Solving 7 + -2x + 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'. 0.5 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.1428571429x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.1428571429x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.1428571429x + x2 = 0 + -0.5 -0.1428571429x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.1428571429x + x2 = -0.5 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 = -0.5 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429x + x2 = -0.5 + 0.005102040819 Combine like terms: -0.5 + 0.005102040819 = -0.494897959181 0.005102040819 + -0.1428571429x + x2 = -0.494897959181 Factor a perfect square on the left side: (x + -0.07142857145)(x + -0.07142857145) = -0.494897959181 Can't calculate square root of the right side. The solution to this equation could not be determined.
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