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Simplifying 6v2 = 42v Solving 6v2 = 42v Solving for variable 'v'. Reorder the terms: -42v + 6v2 = 42v + -42v Combine like terms: 42v + -42v = 0 -42v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '6v'. 6v(-7 + v) = 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 + v)' equal to zero and attempt to solve: Simplifying -7 + v = 0 Solving -7 + v = 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 + v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + v = 0 + 7 v = 0 + 7 Combine like terms: 0 + 7 = 7 v = 7 Simplifying v = 7Solution
v = {0, 7}
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