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Simplifying 16v3 + -24v = 0 Reorder the terms: -24v + 16v3 = 0 Solving -24v + 16v3 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '8v'. 8v(-3 + 2v2) = 0 Ignore the factor 8.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 + 2v2)' equal to zero and attempt to solve: Simplifying -3 + 2v2 = 0 Solving -3 + 2v2 = 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 + 2v2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2v2 = 0 + 3 2v2 = 0 + 3 Combine like terms: 0 + 3 = 3 2v2 = 3 Divide each side by '2'. v2 = 1.5 Simplifying v2 = 1.5 Take the square root of each side: v = {-1.224744871, 1.224744871}Solution
v = {0, -1.224744871, 1.224744871}
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