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Simplifying 18v3 + 51v + -42v = 0 Reorder the terms: 51v + -42v + 18v3 = 0 Combine like terms: 51v + -42v = 9v 9v + 18v3 = 0 Solving 9v + 18v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '9v'. 9v(1 + 2v2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(1 + 2v2)' equal to zero and attempt to solve: Simplifying 1 + 2v2 = 0 Solving 1 + 2v2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v2 = 0 + -1 2v2 = 0 + -1 Combine like terms: 0 + -1 = -1 2v2 = -1 Divide each side by '2'. v2 = -0.5 Simplifying v2 = -0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
v = {0}
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