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Simplifying 3v2 = 14v + 5 Reorder the terms: 3v2 = 5 + 14v Solving 3v2 = 5 + 14v Solving for variable 'v'. Reorder the terms: -5 + -14v + 3v2 = 5 + 14v + -5 + -14v Reorder the terms: -5 + -14v + 3v2 = 5 + -5 + 14v + -14v Combine like terms: 5 + -5 = 0 -5 + -14v + 3v2 = 0 + 14v + -14v -5 + -14v + 3v2 = 14v + -14v Combine like terms: 14v + -14v = 0 -5 + -14v + 3v2 = 0 Factor a trinomial. (-1 + -3v)(5 + -1v) = 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 '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {-0.3333333333, 5}
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