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Simplifying 3v5 = 192v3 Solving 3v5 = 192v3 Solving for variable 'v'. Reorder the terms: -192v3 + 3v5 = 192v3 + -192v3 Combine like terms: 192v3 + -192v3 = 0 -192v3 + 3v5 = 0 Factor out the Greatest Common Factor (GCF), '3v3'. 3v3(-64 + v2) = 0 Factor a difference between two squares. 3v3((8 + v)(-8 + v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'v3' equal to zero and attempt to solve: Simplifying v3 = 0 Solving v3 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8Subproblem 3
Set the factor '(-8 + v)' equal to zero and attempt to solve: Simplifying -8 + v = 0 Solving -8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + v = 0 + 8 v = 0 + 8 Combine like terms: 0 + 8 = 8 v = 8 Simplifying v = 8Solution
v = {-8, 8}
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