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Simplifying 49x2 + 7x + 5 = 0 Reorder the terms: 5 + 7x + 49x2 = 0 Solving 5 + 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'. 0.1020408163 + 0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.1020408163' to each side of the equation. 0.1020408163 + 0.1428571429x + -0.1020408163 + x2 = 0 + -0.1020408163 Reorder the terms: 0.1020408163 + -0.1020408163 + 0.1428571429x + x2 = 0 + -0.1020408163 Combine like terms: 0.1020408163 + -0.1020408163 = 0.0000000000 0.0000000000 + 0.1428571429x + x2 = 0 + -0.1020408163 0.1428571429x + x2 = 0 + -0.1020408163 Combine like terms: 0 + -0.1020408163 = -0.1020408163 0.1428571429x + x2 = -0.1020408163 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 = -0.1020408163 + 0.005102040819 Reorder the terms: 0.005102040819 + 0.1428571429x + x2 = -0.1020408163 + 0.005102040819 Combine like terms: -0.1020408163 + 0.005102040819 = -0.096938775481 0.005102040819 + 0.1428571429x + x2 = -0.096938775481 Factor a perfect square on the left side: (x + 0.07142857145)(x + 0.07142857145) = -0.096938775481 Can't calculate square root of the right side. The solution to this equation could not be determined.
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