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Simplifying 0.4v2 + 0.7v = 0.3v + -2 Reorder the terms: 0.7v + 0.4v2 = 0.3v + -2 Reorder the terms: 0.7v + 0.4v2 = -2 + 0.3v Solving 0.7v + 0.4v2 = -2 + 0.3v Solving for variable 'v'. Reorder the terms: 2 + 0.7v + -0.3v + 0.4v2 = -2 + 0.3v + 2 + -0.3v Combine like terms: 0.7v + -0.3v = 0.4v 2 + 0.4v + 0.4v2 = -2 + 0.3v + 2 + -0.3v Reorder the terms: 2 + 0.4v + 0.4v2 = -2 + 2 + 0.3v + -0.3v Combine like terms: -2 + 2 = 0 2 + 0.4v + 0.4v2 = 0 + 0.3v + -0.3v 2 + 0.4v + 0.4v2 = 0.3v + -0.3v Combine like terms: 0.3v + -0.3v = 0.0 2 + 0.4v + 0.4v2 = 0.0 Begin completing the square. Divide all terms by 0.4 the coefficient of the squared term: Divide each side by '0.4'. 5 + v + v2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + v + -5 + v2 = 0 + -5 Reorder the terms: 5 + -5 + v + v2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v + v2 = 0 + -5 v + v2 = 0 + -5 Combine like terms: 0 + -5 = -5 v + v2 = -5 The v term is v. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + v2 = -5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + v2 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 1.25 + v2 = -4.75 Factor a perfect square on the left side: (v + 0.5)(v + 0.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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