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Simplifying 3v2 + 13v = -14 Reorder the terms: 13v + 3v2 = -14 Solving 13v + 3v2 = -14 Solving for variable 'v'. Reorder the terms: 14 + 13v + 3v2 = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 13v + 3v2 = 0 Factor a trinomial. (7 + 3v)(2 + v) = 0Subproblem 1
Set the factor '(7 + 3v)' equal to zero and attempt to solve: Simplifying 7 + 3v = 0 Solving 7 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3v = 0 + -7 3v = 0 + -7 Combine like terms: 0 + -7 = -7 3v = -7 Divide each side by '3'. v = -2.333333333 Simplifying v = -2.333333333Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {-2.333333333, -2}
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