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Simplifying 0 = -6v2 + -5v + -1 Reorder the terms: 0 = -1 + -5v + -6v2 Solving 0 = -1 + -5v + -6v2 Solving for variable 'v'. Combine like terms: 0 + 1 = 1 1 + 5v + 6v2 = -1 + -5v + -6v2 + 1 + 5v + 6v2 Reorder the terms: 1 + 5v + 6v2 = -1 + 1 + -5v + 5v + -6v2 + 6v2 Combine like terms: -1 + 1 = 0 1 + 5v + 6v2 = 0 + -5v + 5v + -6v2 + 6v2 1 + 5v + 6v2 = -5v + 5v + -6v2 + 6v2 Combine like terms: -5v + 5v = 0 1 + 5v + 6v2 = 0 + -6v2 + 6v2 1 + 5v + 6v2 = -6v2 + 6v2 Combine like terms: -6v2 + 6v2 = 0 1 + 5v + 6v2 = 0 Factor a trinomial. (1 + 2v)(1 + 3v) = 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 '(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 = -0.3333333333Solution
v = {-0.5, -0.3333333333}
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