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Simplifying 6v(2v + -3) = 0 Reorder the terms: 6v(-3 + 2v) = 0 (-3 * 6v + 2v * 6v) = 0 (-18v + 12v2) = 0 Solving -18v + 12v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '6v'. 6v(-3 + 2v) = 0 Ignore the factor 6.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 '(-3 + 2v)' equal to zero and attempt to solve: Simplifying -3 + 2v = 0 Solving -3 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2v = 0 + 3 2v = 0 + 3 Combine like terms: 0 + 3 = 3 2v = 3 Divide each side by '2'. v = 1.5 Simplifying v = 1.5Solution
v = {0, 1.5}
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