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Simplifying 14x2 + 7x + 2 = 0 Reorder the terms: 2 + 7x + 14x2 = 0 Solving 2 + 7x + 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'. 0.1428571429 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.5x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.5x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.5x + x2 = 0 + -0.1428571429 0.5x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.5x + x2 = -0.1428571429 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -0.1428571429 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.1428571429 + 0.0625 Combine like terms: -0.1428571429 + 0.0625 = -0.0803571429 0.0625 + 0.5x + x2 = -0.0803571429 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.0803571429 Can't calculate square root of the right side. The solution to this equation could not be determined.
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