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Simplifying 6v2 + 32 = -32v Reorder the terms: 32 + 6v2 = -32v Solving 32 + 6v2 = -32v Solving for variable 'v'. Reorder the terms: 32 + 32v + 6v2 = -32v + 32v Combine like terms: -32v + 32v = 0 32 + 32v + 6v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 16v + 3v2) = 0 Factor a trinomial. 2((4 + v)(4 + 3v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Subproblem 2
Set the factor '(4 + 3v)' equal to zero and attempt to solve: Simplifying 4 + 3v = 0 Solving 4 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3v = 0 + -4 3v = 0 + -4 Combine like terms: 0 + -4 = -4 3v = -4 Divide each side by '3'. v = -1.333333333 Simplifying v = -1.333333333Solution
v = {-4, -1.333333333}
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