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Simplifying 3v(8v + 5) = 0 Reorder the terms: 3v(5 + 8v) = 0 (5 * 3v + 8v * 3v) = 0 (15v + 24v2) = 0 Solving 15v + 24v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(5 + 8v) = 0 Ignore the factor 3.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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