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Simplifying 4v2 + 6v2 + -4v = 0 Reorder the terms: -4v + 4v2 + 6v2 = 0 Combine like terms: 4v2 + 6v2 = 10v2 -4v + 10v2 = 0 Solving -4v + 10v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v'. 2v(-2 + 5v) = 0 Ignore the factor 2.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 '(-2 + 5v)' equal to zero and attempt to solve: Simplifying -2 + 5v = 0 Solving -2 + 5v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5v = 0 + 2 5v = 0 + 2 Combine like terms: 0 + 2 = 2 5v = 2 Divide each side by '5'. v = 0.4 Simplifying v = 0.4Solution
v = {0, 0.4}
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