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Simplifying 9v3 + -16v = 0 Reorder the terms: -16v + 9v3 = 0 Solving -16v + 9v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(-16 + 9v2) = 0 Factor a difference between two squares. v((4 + 3v)(-4 + 3v)) = 0Subproblem 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 '(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 = -1.333333333Subproblem 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, -1.333333333, 1.333333333}
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