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Simplifying 12v2 = 3v Solving 12v2 = 3v Solving for variable 'v'. Reorder the terms: -3v + 12v2 = 3v + -3v Combine like terms: 3v + -3v = 0 -3v + 12v2 = 0 Factor out the Greatest Common Factor (GCF), '3v'. 3v(-1 + 4v) = 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 '(-1 + 4v)' equal to zero and attempt to solve: Simplifying -1 + 4v = 0 Solving -1 + 4v = 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 + 4v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4v = 0 + 1 4v = 0 + 1 Combine like terms: 0 + 1 = 1 4v = 1 Divide each side by '4'. v = 0.25 Simplifying v = 0.25Solution
v = {0, 0.25}
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