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Simplifying 5v + -1 + -6v2 = 0 Reorder the terms: -1 + 5v + -6v2 = 0 Solving -1 + 5v + -6v2 = 0 Solving for variable 'v'. 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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