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Simplifying 9v2 + 30v = 0 Reorder the terms: 30v + 9v2 = 0 Solving 30v + 9v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(10 + 3v) = 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 '(10 + 3v)' equal to zero and attempt to solve: Simplifying 10 + 3v = 0 Solving 10 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3v = 0 + -10 3v = 0 + -10 Combine like terms: 0 + -10 = -10 3v = -10 Divide each side by '3'. v = -3.333333333 Simplifying v = -3.333333333Solution
v = {0, -3.333333333}
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