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Simplifying 2v(3v + 40) = 0 Reorder the terms: 2v(40 + 3v) = 0 (40 * 2v + 3v * 2v) = 0 (80v + 6v2) = 0 Solving 80v + 6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v'. 2v(40 + 3v) = 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 '(40 + 3v)' equal to zero and attempt to solve: Simplifying 40 + 3v = 0 Solving 40 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 3v = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 3v = 0 + -40 3v = 0 + -40 Combine like terms: 0 + -40 = -40 3v = -40 Divide each side by '3'. v = -13.33333333 Simplifying v = -13.33333333Solution
v = {0, -13.33333333}
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