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Simplifying 14x2 + 7x + 8 = 0 Reorder the terms: 8 + 7x + 14x2 = 0 Solving 8 + 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'. 0.5714285714 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + 0.5x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + 0.5x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + 0.5x + x2 = 0 + -0.5714285714 0.5x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 0.5x + x2 = -0.5714285714 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 = -0.5714285714 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.5714285714 + 0.0625 Combine like terms: -0.5714285714 + 0.0625 = -0.5089285714 0.0625 + 0.5x + x2 = -0.5089285714 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.5089285714 Can't calculate square root of the right side. The solution to this equation could not be determined.
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