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Simplifying -6v(3v + -7) = 0 Reorder the terms: -6v(-7 + 3v) = 0 (-7 * -6v + 3v * -6v) = 0 (42v + -18v2) = 0 Solving 42v + -18v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '6v'. 6v(7 + -3v) = 0 Ignore the factor 6.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 '(7 + -3v)' equal to zero and attempt to solve: Simplifying 7 + -3v = 0 Solving 7 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 0 + -7 -3v = 0 + -7 Combine like terms: 0 + -7 = -7 -3v = -7 Divide each side by '-3'. v = 2.333333333 Simplifying v = 2.333333333Solution
v = {0, 2.333333333}
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