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Simplifying 5v(14v + 9) = 0 Reorder the terms: 5v(9 + 14v) = 0 (9 * 5v + 14v * 5v) = 0 (45v + 70v2) = 0 Solving 45v + 70v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v'. 5v(9 + 14v) = 0 Ignore the factor 5.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 '(9 + 14v)' equal to zero and attempt to solve: Simplifying 9 + 14v = 0 Solving 9 + 14v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 14v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 14v = 0 + -9 14v = 0 + -9 Combine like terms: 0 + -9 = -9 14v = -9 Divide each side by '14'. v = -0.6428571429 Simplifying v = -0.6428571429Solution
v = {0, -0.6428571429}
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