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Simplifying 9v2 + -12v = 0 Reorder the terms: -12v + 9v2 = 0 Solving -12v + 9v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(-4 + 3v) = 0 Ignore the factor 3.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 '(-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}
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