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Simplifying 6v2 + -27v = 0 Reorder the terms: -27v + 6v2 = 0 Solving -27v + 6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(-9 + 2v) = 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 '(-9 + 2v)' equal to zero and attempt to solve: Simplifying -9 + 2v = 0 Solving -9 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2v = 0 + 9 2v = 0 + 9 Combine like terms: 0 + 9 = 9 2v = 9 Divide each side by '2'. v = 4.5 Simplifying v = 4.5Solution
v = {0, 4.5}
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