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Simplifying -9v2 + -3v + -8 = 0 Reorder the terms: -8 + -3v + -9v2 = 0 Solving -8 + -3v + -9v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 3v + 9v2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + 3v + 9v2)' equal to zero and attempt to solve: Simplifying 8 + 3v + 9v2 = 0 Solving 8 + 3v + 9v2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + 0.3333333333v + v2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + 0.3333333333v + -0.8888888889 + v2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + 0.3333333333v + v2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + 0.3333333333v + v2 = 0 + -0.8888888889 0.3333333333v + v2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 0.3333333333v + v2 = -0.8888888889 The v term is 0.3333333333v. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333v + 0.02777777779 + v2 = -0.8888888889 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333v + v2 = -0.8888888889 + 0.02777777779 Combine like terms: -0.8888888889 + 0.02777777779 = -0.86111111111 0.02777777779 + 0.3333333333v + v2 = -0.86111111111 Factor a perfect square on the left side: (v + 0.1666666667)(v + 0.1666666667) = -0.86111111111 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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