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Simplifying 4v(9v + 5) = 0 Reorder the terms: 4v(5 + 9v) = 0 (5 * 4v + 9v * 4v) = 0 (20v + 36v2) = 0 Solving 20v + 36v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v'. 4v(5 + 9v) = 0 Ignore the factor 4.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 + 9v)' equal to zero and attempt to solve: Simplifying 5 + 9v = 0 Solving 5 + 9v = 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 + 9v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9v = 0 + -5 9v = 0 + -5 Combine like terms: 0 + -5 = -5 9v = -5 Divide each side by '9'. v = -0.5555555556 Simplifying v = -0.5555555556Solution
v = {0, -0.5555555556}
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