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Simplifying -9v2 + -1 = -6v Reorder the terms: -1 + -9v2 = -6v Solving -1 + -9v2 = -6v Solving for variable 'v'. Reorder the terms: -1 + 6v + -9v2 = -6v + 6v Combine like terms: -6v + 6v = 0 -1 + 6v + -9v2 = 0 Factor a trinomial. (-1 + 3v)(1 + -3v) = 0Subproblem 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 '(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 = {0.3333333333, 0.3333333333}
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