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Simplifying 2v(3v + -5) = 0 Reorder the terms: 2v(-5 + 3v) = 0 (-5 * 2v + 3v * 2v) = 0 (-10v + 6v2) = 0 Solving -10v + 6v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '2v'. 2v(-5 + 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 '(-5 + 3v)' equal to zero and attempt to solve: Simplifying -5 + 3v = 0 Solving -5 + 3v = 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 + 3v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3v = 0 + 5 3v = 0 + 5 Combine like terms: 0 + 5 = 5 3v = 5 Divide each side by '3'. v = 1.666666667 Simplifying v = 1.666666667Solution
v = {0, 1.666666667}
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