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Simplifying (-2v2 + v + -4) = 0 Reorder the terms: (-4 + v + -2v2) = 0 Remove parenthesis around (-4 + v + -2v2) -4 + v + -2v2 = 0 Solving -4 + v + -2v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 2 + -0.5v + v2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.5v + -2 + v2 = 0 + -2 Reorder the terms: 2 + -2 + -0.5v + v2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5v + v2 = 0 + -2 -0.5v + v2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.5v + v2 = -2 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. -0.5v + 0.25 + v2 = -2 + 0.25 Reorder the terms: 0.25 + -0.5v + v2 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + -0.5v + v2 = -1.75 Factor a perfect square on the left side: (v + 0.5)(v + 0.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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