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Simplifying (5v2 + -2v) + (3 + -1v2) = 0 Reorder the terms: (-2v + 5v2) + (3 + -1v2) = 0 Remove parenthesis around (-2v + 5v2) -2v + 5v2 + (3 + -1v2) = 0 Remove parenthesis around (3 + -1v2) -2v + 5v2 + 3 + -1v2 = 0 Reorder the terms: 3 + -2v + 5v2 + -1v2 = 0 Combine like terms: 5v2 + -1v2 = 4v2 3 + -2v + 4v2 = 0 Solving 3 + -2v + 4v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + -0.5v + v2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -0.5v + -0.75 + v2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -0.5v + v2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.5v + v2 = 0 + -0.75 -0.5v + v2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -0.5v + v2 = -0.75 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 = -0.75 + 0.0625 Reorder the terms: 0.0625 + -0.5v + v2 = -0.75 + 0.0625 Combine like terms: -0.75 + 0.0625 = -0.6875 0.0625 + -0.5v + v2 = -0.6875 Factor a perfect square on the left side: (v + -0.25)(v + -0.25) = -0.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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