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Simplifying 5v(8v + 3) = 0 Reorder the terms: 5v(3 + 8v) = 0 (3 * 5v + 8v * 5v) = 0 (15v + 40v2) = 0 Solving 15v + 40v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v'. 5v(3 + 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 '(3 + 8v)' equal to zero and attempt to solve: Simplifying 3 + 8v = 0 Solving 3 + 8v = 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 + 8v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8v = 0 + -3 8v = 0 + -3 Combine like terms: 0 + -3 = -3 8v = -3 Divide each side by '8'. v = -0.375 Simplifying v = -0.375Solution
v = {0, -0.375}
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