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Simplifying 14x2 + 12x + 49 = 0 Reorder the terms: 49 + 12x + 14x2 = 0 Solving 49 + 12x + 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'. 3.5 + 0.8571428571x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 0.8571428571x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 0.8571428571x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.8571428571x + x2 = 0 + -3.5 0.8571428571x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 0.8571428571x + x2 = -3.5 The x term is 0.8571428571x. Take half its coefficient (0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. 0.8571428571x + 0.1836734694 + x2 = -3.5 + 0.1836734694 Reorder the terms: 0.1836734694 + 0.8571428571x + x2 = -3.5 + 0.1836734694 Combine like terms: -3.5 + 0.1836734694 = -3.3163265306 0.1836734694 + 0.8571428571x + x2 = -3.3163265306 Factor a perfect square on the left side: (x + 0.4285714286)(x + 0.4285714286) = -3.3163265306 Can't calculate square root of the right side. The solution to this equation could not be determined.
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