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Simplifying 14v2 + 15v + 9 = 0 Reorder the terms: 9 + 15v + 14v2 = 0 Solving 9 + 15v + 14v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.6428571429 + 1.071428571v + v2 = 0 Move the constant term to the right: Add '-0.6428571429' to each side of the equation. 0.6428571429 + 1.071428571v + -0.6428571429 + v2 = 0 + -0.6428571429 Reorder the terms: 0.6428571429 + -0.6428571429 + 1.071428571v + v2 = 0 + -0.6428571429 Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000 0.0000000000 + 1.071428571v + v2 = 0 + -0.6428571429 1.071428571v + v2 = 0 + -0.6428571429 Combine like terms: 0 + -0.6428571429 = -0.6428571429 1.071428571v + v2 = -0.6428571429 The v term is 1.071428571v. 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. 1.071428571v + 0.2869897957 + v2 = -0.6428571429 + 0.2869897957 Reorder the terms: 0.2869897957 + 1.071428571v + v2 = -0.6428571429 + 0.2869897957 Combine like terms: -0.6428571429 + 0.2869897957 = -0.3558673472 0.2869897957 + 1.071428571v + v2 = -0.3558673472 Factor a perfect square on the left side: (v + 0.5357142855)(v + 0.5357142855) = -0.3558673472 Can't calculate square root of the right side. The solution to this equation could not be determined.
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