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Simplifying 8v2 + 5v + 1 = 0 Reorder the terms: 1 + 5v + 8v2 = 0 Solving 1 + 5v + 8v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.125 + 0.625v + v2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + 0.625v + -0.125 + v2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + 0.625v + v2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 0.625v + v2 = 0 + -0.125 0.625v + v2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 0.625v + v2 = -0.125 The v term is 0.625v. Take half its coefficient (0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. 0.625v + 0.09765625 + v2 = -0.125 + 0.09765625 Reorder the terms: 0.09765625 + 0.625v + v2 = -0.125 + 0.09765625 Combine like terms: -0.125 + 0.09765625 = -0.02734375 0.09765625 + 0.625v + v2 = -0.02734375 Factor a perfect square on the left side: (v + 0.3125)(v + 0.3125) = -0.02734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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