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Simplifying 3v2 + 16v + 12 = -4 Reorder the terms: 12 + 16v + 3v2 = -4 Solving 12 + 16v + 3v2 = -4 Solving for variable 'v'. Reorder the terms: 12 + 4 + 16v + 3v2 = -4 + 4 Combine like terms: 12 + 4 = 16 16 + 16v + 3v2 = -4 + 4 Combine like terms: -4 + 4 = 0 16 + 16v + 3v2 = 0 Factor a trinomial. (4 + v)(4 + 3v) = 0Subproblem 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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