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Simplifying (5v + v2) + (3v + 3v2) = 0 Remove parenthesis around (5v + v2) 5v + v2 + (3v + 3v2) = 0 Remove parenthesis around (3v + 3v2) 5v + v2 + 3v + 3v2 = 0 Reorder the terms: 5v + 3v + v2 + 3v2 = 0 Combine like terms: 5v + 3v = 8v 8v + v2 + 3v2 = 0 Combine like terms: v2 + 3v2 = 4v2 8v + 4v2 = 0 Solving 8v + 4v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v'. 4v(2 + v) = 0 Ignore the factor 4.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 '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {0, -2}
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