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Simplifying 12v2 + -16 = 44v Reorder the terms: -16 + 12v2 = 44v Solving -16 + 12v2 = 44v Solving for variable 'v'. Reorder the terms: -16 + -44v + 12v2 = 44v + -44v Combine like terms: 44v + -44v = 0 -16 + -44v + 12v2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + -11v + 3v2) = 0 Factor a trinomial. 4((-1 + -3v)(4 + -1v)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -3v)' equal to zero and attempt to solve: Simplifying -1 + -3v = 0 Solving -1 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3v = 0 + 1 -3v = 0 + 1 Combine like terms: 0 + 1 = 1 -3v = 1 Divide each side by '-3'. v = -0.3333333333 Simplifying v = -0.3333333333Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-0.3333333333, 4}
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