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Simplifying -8v + -5v2 = 2v Solving -8v + -5v2 = 2v Solving for variable 'v'. Reorder the terms: -8v + -2v + -5v2 = 2v + -2v Combine like terms: -8v + -2v = -10v -10v + -5v2 = 2v + -2v Combine like terms: 2v + -2v = 0 -10v + -5v2 = 0 Factor out the Greatest Common Factor (GCF), '-5v'. -5v(2 + v) = 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 '(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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