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Simplifying 49x2 + 7x + 1 = 0 Reorder the terms: 1 + 7x + 49x2 = 0 Solving 1 + 7x + 49x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.02040816327 + 0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.02040816327' to each side of the equation. 0.02040816327 + 0.1428571429x + -0.02040816327 + x2 = 0 + -0.02040816327 Reorder the terms: 0.02040816327 + -0.02040816327 + 0.1428571429x + x2 = 0 + -0.02040816327 Combine like terms: 0.02040816327 + -0.02040816327 = 0.00000000000 0.00000000000 + 0.1428571429x + x2 = 0 + -0.02040816327 0.1428571429x + x2 = 0 + -0.02040816327 Combine like terms: 0 + -0.02040816327 = -0.02040816327 0.1428571429x + x2 = -0.02040816327 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 = -0.02040816327 + 0.005102040819 Reorder the terms: 0.005102040819 + 0.1428571429x + x2 = -0.02040816327 + 0.005102040819 Combine like terms: -0.02040816327 + 0.005102040819 = -0.015306122451 0.005102040819 + 0.1428571429x + x2 = -0.015306122451 Factor a perfect square on the left side: (x + 0.07142857145)(x + 0.07142857145) = -0.015306122451 Can't calculate square root of the right side. The solution to this equation could not be determined.
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