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Simplifying v2 + v2 + v2 + v = 0 Reorder the terms: v + v2 + v2 + v2 = 0 Combine like terms: v2 + v2 = 2v2 v + 2v2 + v2 = 0 Combine like terms: 2v2 + v2 = 3v2 v + 3v2 = 0 Solving v + 3v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v'. v(1 + 3v) = 0Subproblem 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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