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Simplifying 6v2 = 5v + -6 Reorder the terms: 6v2 = -6 + 5v Solving 6v2 = -6 + 5v Solving for variable 'v'. Reorder the terms: 6 + -5v + 6v2 = -6 + 5v + 6 + -5v Reorder the terms: 6 + -5v + 6v2 = -6 + 6 + 5v + -5v Combine like terms: -6 + 6 = 0 6 + -5v + 6v2 = 0 + 5v + -5v 6 + -5v + 6v2 = 5v + -5v Combine like terms: 5v + -5v = 0 6 + -5v + 6v2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1 + -0.8333333333v + v2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.8333333333v + -1 + v2 = 0 + -1 Reorder the terms: 1 + -1 + -0.8333333333v + v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.8333333333v + v2 = 0 + -1 -0.8333333333v + v2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.8333333333v + v2 = -1 The v term is -0.8333333333v. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333v + 0.1736111111 + v2 = -1 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333v + v2 = -1 + 0.1736111111 Combine like terms: -1 + 0.1736111111 = -0.8263888889 0.1736111111 + -0.8333333333v + v2 = -0.8263888889 Factor a perfect square on the left side: (v + -0.4166666667)(v + -0.4166666667) = -0.8263888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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