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Simplifying 16v2 + 14v + 3 = 0 Reorder the terms: 3 + 14v + 16v2 = 0 Solving 3 + 14v + 16v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + 2v)(3 + 8v) = 0Subproblem 1
Set the factor '(1 + 2v)' equal to zero and attempt to solve: Simplifying 1 + 2v = 0 Solving 1 + 2v = 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 + 2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 0 + -1 2v = 0 + -1 Combine like terms: 0 + -1 = -1 2v = -1 Divide each side by '2'. v = -0.5 Simplifying v = -0.5Subproblem 2
Set the factor '(3 + 8v)' equal to zero and attempt to solve: Simplifying 3 + 8v = 0 Solving 3 + 8v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8v = 0 + -3 8v = 0 + -3 Combine like terms: 0 + -3 = -3 8v = -3 Divide each side by '8'. v = -0.375 Simplifying v = -0.375Solution
v = {-0.5, -0.375}
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