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Simplifying 8v2 + 18v + 13 = 0 Reorder the terms: 13 + 18v + 8v2 = 0 Solving 13 + 18v + 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'. 1.625 + 2.25v + v2 = 0 Move the constant term to the right: Add '-1.625' to each side of the equation. 1.625 + 2.25v + -1.625 + v2 = 0 + -1.625 Reorder the terms: 1.625 + -1.625 + 2.25v + v2 = 0 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + 2.25v + v2 = 0 + -1.625 2.25v + v2 = 0 + -1.625 Combine like terms: 0 + -1.625 = -1.625 2.25v + v2 = -1.625 The v term is 2.25v. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25v + 1.265625 + v2 = -1.625 + 1.265625 Reorder the terms: 1.265625 + 2.25v + v2 = -1.625 + 1.265625 Combine like terms: -1.625 + 1.265625 = -0.359375 1.265625 + 2.25v + v2 = -0.359375 Factor a perfect square on the left side: (v + 1.125)(v + 1.125) = -0.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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