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Simplifying 16v2 + 20 = 5v Reorder the terms: 20 + 16v2 = 5v Solving 20 + 16v2 = 5v Solving for variable 'v'. Reorder the terms: 20 + -5v + 16v2 = 5v + -5v Combine like terms: 5v + -5v = 0 20 + -5v + 16v2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.25 + -0.3125v + v2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.3125v + -1.25 + v2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.3125v + v2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.3125v + v2 = 0 + -1.25 -0.3125v + v2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.3125v + v2 = -1.25 The v term is -0.3125v. Take half its coefficient (-0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. -0.3125v + 0.0244140625 + v2 = -1.25 + 0.0244140625 Reorder the terms: 0.0244140625 + -0.3125v + v2 = -1.25 + 0.0244140625 Combine like terms: -1.25 + 0.0244140625 = -1.2255859375 0.0244140625 + -0.3125v + v2 = -1.2255859375 Factor a perfect square on the left side: (v + -0.15625)(v + -0.15625) = -1.2255859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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