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Simplifying 40v2 = 5v Solving 40v2 = 5v Solving for variable 'v'. Reorder the terms: -5v + 40v2 = 5v + -5v Combine like terms: 5v + -5v = 0 -5v + 40v2 = 0 Factor out the Greatest Common Factor (GCF), '5v'. 5v(-1 + 8v) = 0 Ignore the factor 5.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 + 8v)' equal to zero and attempt to solve: Simplifying -1 + 8v = 0 Solving -1 + 8v = 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 + 8v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8v = 0 + 1 8v = 0 + 1 Combine like terms: 0 + 1 = 1 8v = 1 Divide each side by '8'. v = 0.125 Simplifying v = 0.125Solution
v = {0, 0.125}
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