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Simplifying 14x2 + 15x + 6 = 0 Reorder the terms: 6 + 15x + 14x2 = 0 Solving 6 + 15x + 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'. 0.4285714286 + 1.071428571x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 1.071428571x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 1.071428571x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 1.071428571x + x2 = 0 + -0.4285714286 1.071428571x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 1.071428571x + x2 = -0.4285714286 The x term is 1.071428571x. Take half its coefficient (0.5357142855). Square it (0.2869897957) and add it to both sides. Add '0.2869897957' to each side of the equation. 1.071428571x + 0.2869897957 + x2 = -0.4285714286 + 0.2869897957 Reorder the terms: 0.2869897957 + 1.071428571x + x2 = -0.4285714286 + 0.2869897957 Combine like terms: -0.4285714286 + 0.2869897957 = -0.1415816329 0.2869897957 + 1.071428571x + x2 = -0.1415816329 Factor a perfect square on the left side: (x + 0.5357142855)(x + 0.5357142855) = -0.1415816329 Can't calculate square root of the right side. The solution to this equation could not be determined.
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