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Simplifying 5v(8v + -5) = 0 Reorder the terms: 5v(-5 + 8v) = 0 (-5 * 5v + 8v * 5v) = 0 (-25v + 40v2) = 0 Solving -25v + 40v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v'. 5v(-5 + 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 '(-5 + 8v)' equal to zero and attempt to solve: Simplifying -5 + 8v = 0 Solving -5 + 8v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8v = 0 + 5 8v = 0 + 5 Combine like terms: 0 + 5 = 5 8v = 5 Divide each side by '8'. v = 0.625 Simplifying v = 0.625Solution
v = {0, 0.625}
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