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Simplifying 10v2 + -5v + 11 = 0 Reorder the terms: 11 + -5v + 10v2 = 0 Solving 11 + -5v + 10v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.1 + -0.5v + v2 = 0 Move the constant term to the right: Add '-1.1' to each side of the equation. 1.1 + -0.5v + -1.1 + v2 = 0 + -1.1 Reorder the terms: 1.1 + -1.1 + -0.5v + v2 = 0 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -0.5v + v2 = 0 + -1.1 -0.5v + v2 = 0 + -1.1 Combine like terms: 0 + -1.1 = -1.1 -0.5v + v2 = -1.1 The v term is -0.5v. 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. -0.5v + 0.0625 + v2 = -1.1 + 0.0625 Reorder the terms: 0.0625 + -0.5v + v2 = -1.1 + 0.0625 Combine like terms: -1.1 + 0.0625 = -1.0375 0.0625 + -0.5v + v2 = -1.0375 Factor a perfect square on the left side: (v + -0.25)(v + -0.25) = -1.0375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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