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Simplifying (7v + -1v)(3v + 1) = 0 Combine like terms: 7v + -1v = 6v (6v)(3v + 1) = 0 Remove parenthesis around (6v) 6v(3v + 1) = 0 Reorder the terms: 6v(1 + 3v) = 0 (1 * 6v + 3v * 6v) = 0 (6v + 18v2) = 0 Solving 6v + 18v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '6v'. 6v(1 + 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 '(1 + 3v)' equal to zero and attempt to solve: Simplifying 1 + 3v = 0 Solving 1 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3v = 0 + -1 3v = 0 + -1 Combine like terms: 0 + -1 = -1 3v = -1 Divide each side by '3'. v = -0.3333333333 Simplifying v = -0.3333333333Solution
v = {0, -0.3333333333}
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