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Simplifying 360v3 + -780v2 + 400v = 0 Reorder the terms: 400v + -780v2 + 360v3 = 0 Solving 400v + -780v2 + 360v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '20v'. 20v(20 + -39v + 18v2) = 0 Factor a trinomial. 20v((5 + -6v)(4 + -3v)) = 0 Ignore the factor 20.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 '(5 + -6v)' equal to zero and attempt to solve: Simplifying 5 + -6v = 0 Solving 5 + -6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6v = 0 + -5 -6v = 0 + -5 Combine like terms: 0 + -5 = -5 -6v = -5 Divide each side by '-6'. v = 0.8333333333 Simplifying v = 0.8333333333Subproblem 3
Set the factor '(4 + -3v)' equal to zero and attempt to solve: Simplifying 4 + -3v = 0 Solving 4 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 0 + -4 -3v = 0 + -4 Combine like terms: 0 + -4 = -4 -3v = -4 Divide each side by '-3'. v = 1.333333333 Simplifying v = 1.333333333Solution
v = {0, 0.8333333333, 1.333333333}
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