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Simplifying 3v(7v + 4) = 0 Reorder the terms: 3v(4 + 7v) = 0 (4 * 3v + 7v * 3v) = 0 (12v + 21v2) = 0 Solving 12v + 21v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v'. 3v(4 + 7v) = 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 '(4 + 7v)' equal to zero and attempt to solve: Simplifying 4 + 7v = 0 Solving 4 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7v = 0 + -4 7v = 0 + -4 Combine like terms: 0 + -4 = -4 7v = -4 Divide each side by '7'. v = -0.5714285714 Simplifying v = -0.5714285714Solution
v = {0, -0.5714285714}
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